22412563440480 has 672 divisors, whose sum is σ = 79901174152800. Its totient is φ = 5938208464896.

The previous prime is 22412563440469. The next prime is 22412563440497. The reversal of 22412563440480 is 8404436521422.

22412563440480 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 2 + 5 + 634 + 4 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13929497916 + ... + 13929499524.

It is an arithmetic number, because the mean of its divisors is an integer number (118900556775).

Almost surely, 2^{22412563440480} is an apocalyptic number.

22412563440480 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 22412563440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39950587076400).

22412563440480 is an abundant number, since it is smaller than the sum of its proper divisors (57488610712320).

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

22412563440480 is a wasteful number, since it uses less digits than its factorization.

22412563440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 22412563440480 in words is "twenty-two trillion, four hundred twelve billion, five hundred sixty-three million, four hundred forty thousand, four hundred eighty".