100326842922240 has 1440 divisors, whose sum is σ = 396146662281216. Its totient is φ = 24042187653120.

The previous prime is 100326842922223. The next prime is 100326842922269. The reversal of 100326842922240 is 42229248623001.

100326842922240 is a `hidden beast` number, since 1 + 0 + 0 + 326 + 84 + 2 + 9 + 2 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 45335219374 + ... + 45335221586.

Almost surely, 2^{100326842922240} is an apocalyptic number.

100326842922240 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 100326842922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198073331140608).

100326842922240 is an abundant number, since it is smaller than the sum of its proper divisors (295819819358976).

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

100326842922240 is a wasteful number, since it uses less digits than its factorization.

100326842922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 100326842922240 in words is "one hundred trillion, three hundred twenty-six billion, eight hundred forty-two million, nine hundred twenty-two thousand, two hundred forty".