| Base | Representation |
|---|---|
| bin | 111010001101111000110… |
| … | …010100001011000000000 |
| 3 | 112011110100112222001020000 |
| 4 | 322031320302201120000 |
| 5 | 1011021303102444100 |
| 6 | 12301511422120000 |
| 7 | 562015420643523 |
| oct | 72157062413000 |
| 9 | 15143315861200 |
| 10 | 4000641062400 |
| 11 | 1302731646304 |
| 12 | 547426720000 |
| 13 | 2303498705b8 |
| 14 | db8bc534bba |
| 15 | 6e0ec3d9900 |
| hex | 3a378ca1600 |
4000641062400 has 1200 divisors, whose sum is σ = 15746510690064. Its totient is φ = 999680901120.
The previous prime is 4000641062399. The next prime is 4000641062401. The reversal of 4000641062400 is 42601460004.
4000641062400 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 6 + 410 + 6 + 240 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (4000641062399) and next prime (4000641062401).
It is a tau number, because it is divible by the number of its divisors (1200).
It is a super-2 number, since 2×40006410624002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4000641062401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6221836479 + ... + 6221837121.
Almost surely, 24000641062400 is an apocalyptic number.
4000641062400 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 4000641062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873255345032).
4000641062400 is an abundant number, since it is smaller than the sum of its proper divisors (11745869627664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4000641062400 is a wasteful number, since it uses less digits than its factorization.
4000641062400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1053 (or 1023 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The spelling of 4000641062400 in words is "four trillion, six hundred forty-one million, sixty-two thousand, four hundred".
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