22362661440 has 560 divisors, whose sum is σ = 92497046400. Its totient is φ = 5022425088.

The previous prime is 22362661393. The next prime is 22362661457. The reversal of 22362661440 is 4416626322.

22362661440 is a `hidden beast` number, since 2 + 2 + 36 + 2 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 22362661395 and 22362661404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10703916 + ... + 10706004.

Almost surely, 2^22362661440 is an apocalyptic number.

22362661440 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 22362661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46248523200).

22362661440 is an abundant number, since it is smaller than the sum of its proper divisors (70134384960).

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

22362661440 is a wasteful number, since it uses less digits than its factorization.

22362661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22362661440 in words is "twenty-two billion, three hundred sixty-two million, six hundred sixty-one thousand, four hundred forty".