22123840424400 has 2520 divisors, whose sum is σ = 95286309306720. Its totient is φ = 4901007513600.

The previous prime is 22123840424339. The next prime is 22123840424401. The reversal of 22123840424400 is 442404832122.

22123840424400 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 8 + 404 + 244 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123840424401) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 63757465027 + ... + 63757465373.

Almost surely, 2^{22123840424400} is an apocalyptic number.

22123840424400 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 22123840424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47643154653360).

22123840424400 is an abundant number, since it is smaller than the sum of its proper divisors (73162468882320).

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

22123840424400 is a wasteful number, since it uses less digits than its factorization.

22123840424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 22123840424400 in words is "twenty-two trillion, one hundred twenty-three billion, eight hundred forty million, four hundred twenty-four thousand, four hundred".