| Base | Representation |
|---|---|
| bin | 111010110010101010100… |
| … | …110000100011100100000 |
| 3 | 112022020021200221020211200 |
| 4 | 322302222212010130200 |
| 5 | 1012143142112132030 |
| 6 | 12332002152241200 |
| 7 | 564614135660160 |
| oct | 72625246043440 |
| 9 | 15266250836750 |
| 10 | 4040131364640 |
| 11 | 1318456913928 |
| 12 | 5530079a0200 |
| 13 | 233ca1153947 |
| 14 | dd7871445a0 |
| 15 | 7015e28ed60 |
| hex | 3acaa984720 |
4040131364640 has 576 divisors, whose sum is σ = 16034516289792. Its totient is φ = 907305984000.
The previous prime is 4040131364639. The next prime is 4040131364641. The reversal of 4040131364640 is 464631310404.
4040131364640 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 1 + 3 + 1 + 3 + 6 + 4 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (4040131364639) and next prime (4040131364641).
It is a super-2 number, since 2×40401313646402 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4040131364595 and 4040131364604.
It is not an unprimeable number, because it can be changed into a prime (4040131364641) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133353334 + ... + 133383626.
It is an arithmetic number, because the mean of its divisors is an integer number (27837701892).
Almost surely, 24040131364640 is an apocalyptic number.
4040131364640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4040131364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017258144896).
4040131364640 is an abundant number, since it is smaller than the sum of its proper divisors (11994384925152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4040131364640 is a wasteful number, since it uses less digits than its factorization.
4040131364640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30553 (or 30542 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The spelling of 4040131364640 in words is "four trillion, forty billion, one hundred thirty-one million, three hundred sixty-four thousand, six hundred forty".
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