4008052973232 has 400 divisors, whose sum is σ = 14485305238272. Its totient is φ = 1039441559040.

The previous prime is 4008052973179. The next prime is 4008052973257. The reversal of 4008052973232 is 2323792508004.

4008052973232 is a `hidden beast` number, since 40 + 0 + 80 + 529 + 7 + 3 + 2 + 3 + 2 = 666.

4008052973232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65133423 + ... + 65194929.

Almost surely, 2^{4008052973232} is an apocalyptic number.

4008052973232 is a gapful number since it is divisible by the number (42) 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 4008052973232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242652619136).

4008052973232 is an abundant number, since it is smaller than the sum of its proper divisors (10477252265040).

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

4008052973232 is a wasteful number, since it uses less digits than its factorization.

4008052973232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62198 (or 62183 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4008052973232 in words is "four trillion, eight billion, fifty-two million, nine hundred seventy-three thousand, two hundred thirty-two".