4088541330432 has 1056 divisors, whose sum is σ = 13570741416960. Its totient is φ = 1176698880000.

The previous prime is 4088541330361. The next prime is 4088541330457. The reversal of 4088541330432 is 2340331458804.

4088541330432 is a `hidden beast` number, since 4 + 0 + 8 + 85 + 4 + 133 + 0 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21405975457 + ... + 21405975647.

Almost surely, 2^{4088541330432} 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 4088541330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785370708480).

4088541330432 is an abundant number, since it is smaller than the sum of its proper divisors (9482200086528).

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

4088541330432 is a wasteful number, since it uses less digits than its factorization.

4088541330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4088541330432 in words is "four trillion, eighty-eight billion, five hundred forty-one million, three hundred thirty thousand, four hundred thirty-two".