100071924638400 has 1344 divisors, whose sum is σ = 428848376947200. Its totient is φ = 22379452416000.

The previous prime is 100071924638383. The next prime is 100071924638429. The reversal of 100071924638400 is 4836429170001.

100071924638400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 1 + 9 + 2 + 4 + 638 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11928941406 + ... + 11928949794.

It is an arithmetic number, because the mean of its divisors is an integer number (319083613800).

Almost surely, 2^{100071924638400} is an apocalyptic number.

100071924638400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100071924638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214424188473600).

100071924638400 is an abundant number, since it is smaller than the sum of its proper divisors (328776452308800).

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

100071924638400 is a wasteful number, since it uses less digits than its factorization.

100071924638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 100071924638400 in words is "one hundred trillion, seventy-one billion, nine hundred twenty-four million, six hundred thirty-eight thousand, four hundred".