100409217376896 has 768 divisors, whose sum is σ = 314883173928960. Its totient is φ = 31811685175296.

The previous prime is 100409217376891. The next prime is 100409217376931. The reversal of 100409217376896 is 698673712904001.

100409217376896 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 9 + 217 + 376 + 8 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (100409217376891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34779775965 + ... + 34779778851.

It is an arithmetic number, because the mean of its divisors is an integer number (410004132720).

Almost surely, 2^{100409217376896} is an apocalyptic number.

100409217376896 is a gapful number since it is divisible by the number (16) 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 100409217376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157441586964480).

100409217376896 is an abundant number, since it is smaller than the sum of its proper divisors (214473956552064).

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

100409217376896 is an equidigital number, since it uses as much as digits as its factorization.

100409217376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 100409217376896 in words is "one hundred trillion, four hundred nine billion, two hundred seventeen million, three hundred seventy-six thousand, eight hundred ninety-six".