22842010090400 has 72 divisors (see below), whose sum is σ = 56274645028140. Its totient is φ = 9052980111360.

The previous prime is 22842010090399. The next prime is 22842010090481. The reversal of 22842010090400 is 409001024822.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9480265632016 + 13361744458384 = 3079004^2 + 3655372^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130887629 + ... + 131062028.

Almost surely, 2^{22842010090400} is an apocalyptic number.

22842010090400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22842010090400 is an abundant number, since it is smaller than the sum of its proper divisors (33432634937740).

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

22842010090400 is a wasteful number, since it uses less digits than its factorization.

22842010090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261949786 (or 261949773 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 22842010090400 in words is "twenty-two trillion, eight hundred forty-two billion, ten million, ninety thousand, four hundred".