38503164011040 has 120 divisors (see below), whose sum is σ = 135884083034700. Its totient is φ = 10267510399488.

The previous prime is 38503164011017. The next prime is 38503164011069. The reversal of 38503164011040 is 4011046130583.

38503164011040 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 3 + 1 + 640 + 1 + 1 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36747019572624 + 1756144438416 = 6061932^2 + 1325196^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×38503164011040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38503164010986 and 38503164011004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1485448615 + ... + 1485474534.

Almost surely, 2^{38503164011040} is an apocalyptic number.

38503164011040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38503164011040 is an abundant number, since it is smaller than the sum of its proper divisors (97380919023660).

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

38503164011040 is a wasteful number, since it uses less digits than its factorization.

38503164011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970923176 (or 2970923159 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38503164011040 in words is "thirty-eight trillion, five hundred three billion, one hundred sixty-four million, eleven thousand, forty".