22410196464960 has 784 divisors, whose sum is σ = 84794580516672. Its totient is φ = 5619323289600.

The previous prime is 22410196464919. The next prime is 22410196464961. The reversal of 22410196464960 is 6946469101422.

22410196464960 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 0 + 1 + 96 + 464 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22410196464897 and 22410196464906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22410196464961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6071576715 + ... + 6071580405.

Almost surely, 2^{22410196464960} is an apocalyptic number.

22410196464960 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 22410196464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42397290258336).

22410196464960 is an abundant number, since it is smaller than the sum of its proper divisors (62384384051712).

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

22410196464960 is a wasteful number, since it uses less digits than its factorization.

22410196464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 22410196464960 in words is "twenty-two trillion, four hundred ten billion, one hundred ninety-six million, four hundred sixty-four thousand, nine hundred sixty".