22430042800 has 120 divisors (see below), whose sum is σ = 59183377200. Its totient is φ = 8101401600.

The previous prime is 22430042753. The next prime is 22430042807. The reversal of 22430042800 is 824003422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22430042807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638494 + ... + 672706.

It is an arithmetic number, because the mean of its divisors is an integer number (493194810).

Almost surely, 2^22430042800 is an apocalyptic number.

22430042800 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 22430042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29591688600).

22430042800 is an abundant number, since it is smaller than the sum of its proper divisors (36753334400).

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

22430042800 is a wasteful number, since it uses less digits than its factorization.

22430042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34391 (or 34380 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The spelling of 22430042800 in words is "twenty-two billion, four hundred thirty million, forty-two thousand, eight hundred".