22662044400 has 120 divisors (see below), whose sum is σ = 73000327680. Its totient is φ = 6009393920.

The previous prime is 22662044399. The next prime is 22662044407. The reversal of 22662044400 is 444026622.

It is a tau number, because it is divible by the number of its divisors (120).

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 (22662044407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162049 + ... + 267551.

It is an arithmetic number, because the mean of its divisors is an integer number (608336064).

Almost surely, 2^22662044400 is an apocalyptic number.

22662044400 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 22662044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36500163840).

22662044400 is an abundant number, since it is smaller than the sum of its proper divisors (50338283280).

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

22662044400 is a wasteful number, since it uses less digits than its factorization.

22662044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105703 (or 105692 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22662044400 in words is "twenty-two billion, six hundred sixty-two million, forty-four thousand, four hundred".