4038552882432 has 216 divisors, whose sum is σ = 11695201959168. Its totient is φ = 1340292096000.

The previous prime is 4038552882383. The next prime is 4038552882451. The reversal of 4038552882432 is 2342882558304.

4038552882432 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 5 + 528 + 82 + 4 + 32 = 666.

It is a super-2 number, since 2×4038552882432² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714658807 + ... + 714664457.

Almost surely, 2^{4038552882432} 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 4038552882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847600979584).

4038552882432 is an abundant number, since it is smaller than the sum of its proper divisors (7656649076736).

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

4038552882432 is a wasteful number, since it uses less digits than its factorization.

4038552882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 4038552882432 in words is "four trillion, thirty-eight billion, five hundred fifty-two million, eight hundred eighty-two thousand, four hundred thirty-two".