4025140632576 has 528 divisors, whose sum is σ = 13794133638400. Its totient is φ = 1135807930368.

The previous prime is 4025140632521. The next prime is 4025140632587. The reversal of 4025140632576 is 6752360415204.

4025140632576 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 1 + 4 + 0 + 632 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×4025140632576² (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 47 ways as a sum of consecutive naturals, for example, 1333267995 + ... + 1333271013.

Almost surely, 2^{4025140632576} 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 4025140632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897066819200).

4025140632576 is an abundant number, since it is smaller than the sum of its proper divisors (9768993005824).

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

4025140632576 is an equidigital number, since it uses as much as digits as its factorization.

4025140632576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 4025140632576 in words is "four trillion, twenty-five billion, one hundred forty million, six hundred thirty-two thousand, five hundred seventy-six".