4002439125888 has 256 divisors, whose sum is σ = 13965820416000. Its totient is φ = 1104120944640.

The previous prime is 4002439125809. The next prime is 4002439125901. The reversal of 4002439125888 is 8885219342004.

4002439125888 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 43 + 9 + 12 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2150928 + ... + 3554063.

It is an arithmetic number, because the mean of its divisors is an integer number (54553986000).

Almost surely, 2^{4002439125888} is an apocalyptic number.

4002439125888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4002439125888 is an abundant number, since it is smaller than the sum of its proper divisors (9963381290112).

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

4002439125888 is a wasteful number, since it uses less digits than its factorization.

4002439125888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705050 (or 5705032 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4002439125888 in words is "four trillion, two billion, four hundred thirty-nine million, one hundred twenty-five thousand, eight hundred eighty-eight".