22466061024400 has 240 divisors, whose sum is σ = 62271017614080. Its totient is φ = 7629566515200.

The previous prime is 22466061024359. The next prime is 22466061024401. The reversal of 22466061024400 is 442016066422.

It is a self number, because there is not a number n which added to its sum of digits gives 22466061024400.

It is not an unprimeable number, because it can be changed into a prime (22466061024401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149678630 + ... + 1149698170.

It is an arithmetic number, because the mean of its divisors is an integer number (259462573392).

Almost surely, 2^{22466061024400} is an apocalyptic number.

22466061024400 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 22466061024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135508807040).

22466061024400 is an abundant number, since it is smaller than the sum of its proper divisors (39804956589680).

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

22466061024400 is a wasteful number, since it uses less digits than its factorization.

22466061024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23442 (or 23431 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 22466061024400 in words is "twenty-two trillion, four hundred sixty-six billion, sixty-one million, twenty-four thousand, four hundred".