22500404414400 has 672 divisors, whose sum is σ = 84596996160000. Its totient is φ = 5182426726400.

The previous prime is 22500404414393. The next prime is 22500404414401. The reversal of 22500404414400 is 441440400522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22500404414401) 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, 180883426 + ... + 181007774.

Almost surely, 2^{22500404414400} is an apocalyptic number.

22500404414400 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 22500404414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42298498080000).

22500404414400 is an abundant number, since it is smaller than the sum of its proper divisors (62096591745600).

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

22500404414400 is a wasteful number, since it uses less digits than its factorization.

22500404414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124557 (or 124542 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 22500404414400 its reverse (441440400522), we get a palindrome (22941844814922).

The spelling of 22500404414400 in words is "twenty-two trillion, five hundred billion, four hundred four million, four hundred fourteen thousand, four hundred".