22331408400 has 720 divisors, whose sum is σ = 95907861504. Its totient is φ = 4878973440.

The previous prime is 22331408381. The next prime is 22331408417. The reversal of 22331408400 is 480413322.

22331408400 is a `hidden beast` number, since 223 + 31 + 4 + 0 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22331408400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15648487 + ... + 15649913.

Almost surely, 2^22331408400 is an apocalyptic number.

22331408400 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 22331408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47953930752).

22331408400 is an abundant number, since it is smaller than the sum of its proper divisors (73576453104).

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

22331408400 is a wasteful number, since it uses less digits than its factorization.

22331408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22331408400 in words is "twenty-two billion, three hundred thirty-one million, four hundred eight thousand, four hundred".