100401356468160 has 2240 divisors, whose sum is σ = 404924629824000. Its totient is φ = 23406810071040.

The previous prime is 100401356468107. The next prime is 100401356468173. The reversal of 100401356468160 is 61864653104001.

100401356468160 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 1 + 3 + 564 + 6 + 81 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 258101173246 + ... + 258101173634.

Almost surely, 2^{100401356468160} is an apocalyptic number.

100401356468160 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 100401356468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202462314912000).

100401356468160 is an abundant number, since it is smaller than the sum of its proper divisors (304523273355840).

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

100401356468160 is a wasteful number, since it uses less digits than its factorization.

100401356468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 100401356468160 in words is "one hundred trillion, four hundred one billion, three hundred fifty-six million, four hundred sixty-eight thousand, one hundred sixty".