22920322414080 has 960 divisors, whose sum is σ = 92125248481728. Its totient is φ = 4818437406720.

The previous prime is 22920322414043. The next prime is 22920322414097. The reversal of 22920322414080 is 8041422302922.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1374688624 + ... + 1374705296.

Almost surely, 2^{22920322414080} is an apocalyptic number.

22920322414080 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 22920322414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46062624240864).

22920322414080 is an abundant number, since it is smaller than the sum of its proper divisors (69204926067648).

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

22920322414080 is a wasteful number, since it uses less digits than its factorization.

22920322414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17007 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 22920322414080 in words is "twenty-two trillion, nine hundred twenty billion, three hundred twenty-two million, four hundred fourteen thousand, eighty".