100414795622400 has 1728 divisors, whose sum is σ = 425209528598400. Its totient is φ = 22167308206080.

The previous prime is 100414795622399. The next prime is 100414795622417. The reversal of 100414795622400 is 4226597414001.

100414795622400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 47 + 9 + 562 + 2 + 40 + 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 143 ways as a sum of consecutive naturals, for example, 16589257774 + ... + 16589263826.

It is an arithmetic number, because the mean of its divisors is an integer number (246070329050).

Almost surely, 2^{100414795622400} is an apocalyptic number.

100414795622400 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 100414795622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212604764299200).

100414795622400 is an abundant number, since it is smaller than the sum of its proper divisors (324794732976000).

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

100414795622400 is a wasteful number, since it uses less digits than its factorization.

100414795622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 100414795622400 in words is "one hundred trillion, four hundred fourteen billion, seven hundred ninety-five million, six hundred twenty-two thousand, four hundred".