1038132813984 has 96 divisors (see below), whose sum is σ = 3153821368320. Its totient is φ = 292854811392.

The previous prime is 1038132813973. The next prime is 1038132814001. The reversal of 1038132813984 is 4893182318301.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9724384 + ... + 9830559.

It is an arithmetic number, because the mean of its divisors is an integer number (32852305920).

Almost surely, 2^{1038132813984} is an apocalyptic number.

1038132813984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1038132813984 is an abundant number, since it is smaller than the sum of its proper divisors (2115688554336).

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

1038132813984 is a wasteful number, since it uses less digits than its factorization.

1038132813984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555042 (or 19555034 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 1038132813984 in words is "one trillion, thirty-eight billion, one hundred thirty-two million, eight hundred thirteen thousand, nine hundred eighty-four".