38412511032480 has 96 divisors (see below), whose sum is σ = 130307056677504. Its totient is φ = 9455387329536.

The previous prime is 38412511032473. The next prime is 38412511032481. The reversal of 38412511032480 is 8423011521483.

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

It is a super-2 number, since 2×38412511032480² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38412511032481) 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, 3077919324 + ... + 3077931803.

It is an arithmetic number, because the mean of its divisors is an integer number (1357365173724).

Almost surely, 2^{38412511032480} is an apocalyptic number.

38412511032480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38412511032480 is an abundant number, since it is smaller than the sum of its proper divisors (91894545645024).

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

38412511032480 is a wasteful number, since it uses less digits than its factorization.

38412511032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155851158 (or 6155851150 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 38412511032480 in words is "thirty-eight trillion, four hundred twelve billion, five hundred eleven million, thirty-two thousand, four hundred eighty".