1038949936128 has 176 divisors, whose sum is σ = 3313550299360. Its totient is φ = 319676792832.

The previous prime is 1038949936121. The next prime is 1038949936223. The reversal of 1038949936128 is 8216399498301.

1038949936128 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 4 + 9 + 9 + 3 + 612 + 8 = 666.

1038949936128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1038949936121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085875 + ... + 1804722.

Almost surely, 2^{1038949936128} is an apocalyptic number.

1038949936128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1038949936128 is an abundant number, since it is smaller than the sum of its proper divisors (2274600363232).

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

1038949936128 is a wasteful number, since it uses less digits than its factorization.

1038949936128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890639 (or 2890615 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1038949936128 in words is "one trillion, thirty-eight billion, nine hundred forty-nine million, nine hundred thirty-six thousand, one hundred twenty-eight".