4000624056 has 192 divisors, whose sum is σ = 12778103520. Its totient is φ = 1114767360.

The previous prime is 4000624027. The next prime is 4000624087. The reversal of 4000624056 is 6504260004.

It is a happy number.

It is a super-2 number, since 2×4000624056² = 32009985674891782272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3469176 + ... + 3470328.

Almost surely, 2^4000624056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000624056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389051760).

4000624056 is an abundant number, since it is smaller than the sum of its proper divisors (8777479464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000624056 is a wasteful number, since it uses less digits than its factorization.

4000624056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4000624056 is about 63250.4866068238. The cubic root of 4000624056 is about 1587.4835999380.

The spelling of 4000624056 in words is "four billion, six hundred twenty-four thousand, fifty-six".