22938609335040 has 2592 divisors, whose sum is σ = 102487430223360. Its totient is φ = 4798595727360.

The previous prime is 22938609335017. The next prime is 22938609335069. The reversal of 22938609335040 is 4053390683922.

It is a happy number.

22938609335040 is a `hidden beast` number, since 2 + 2 + 93 + 86 + 0 + 93 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39754955232 + ... + 39754955808.

Almost surely, 2^{22938609335040} is an apocalyptic number.

22938609335040 is a gapful number since it is divisible by the number (20) 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 22938609335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51243715111680).

22938609335040 is an abundant number, since it is smaller than the sum of its proper divisors (79548820888320).

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

22938609335040 is an equidigital number, since it uses as much as digits as its factorization.

22938609335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 22938609335040 in words is "twenty-two trillion, nine hundred thirty-eight billion, six hundred nine million, three hundred thirty-five thousand, forty".