| Base | Representation |
|---|---|
| bin | 1110111011011111… |
| … | …1100000101100000 |
| 3 | 101100022002021112110 |
| 4 | 3232313330011200 |
| 5 | 31201424011230 |
| 6 | 1501401355320 |
| 7 | 201212250555 |
| oct | 35667740540 |
| 9 | 11308067473 |
| 10 | 4007641440 |
| 11 | 1777233370 |
| 12 | 93a198b40 |
| 13 | 4bb39888a |
| 14 | 2a0382a2c |
| 15 | 186c844b0 |
| hex | eedfc160 |
4007641440 has 384 divisors, whose sum is σ = 14633063424. Its totient is φ = 912384000.
The previous prime is 4007641433. The next prime is 4007641441. The reversal of 4007641440 is 441467004.
It is a super-2 number, since 2×40076414402 = 32122379823210547200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 4007641398 and 4007641407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4007641441) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7407570 + ... + 7408110.
It is an arithmetic number, because the mean of its divisors is an integer number (38106936).
Almost surely, 24007641440 is an apocalyptic number.
4007641440 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 4007641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316531712).
4007641440 is an abundant number, since it is smaller than the sum of its proper divisors (10625421984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4007641440 is a wasteful number, since it uses less digits than its factorization.
4007641440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 654 (or 646 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 30.
The square root of 4007641440 is about 63305.9352667663. The cubic root of 4007641440 is about 1588.4112447883.
It can be divided in two parts, 400764 and 1440, that added together give a palindrome (402204).
The spelling of 4007641440 in words is "four billion, seven million, six hundred forty-one thousand, four hundred forty".
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