22952000040480 has 1152 divisors, whose sum is σ = 98035226505216. Its totient is φ = 4768550092800.

The previous prime is 22952000040469. The next prime is 22952000040493. The reversal of 22952000040480 is 8404000025922.

22952000040480 is a `hidden beast` number, since 229 + 5 + 20 + 0 + 0 + 0 + 404 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2767631214 + ... + 2767639506.

It is an arithmetic number, because the mean of its divisors is an integer number (85100023008).

Almost surely, 2^{22952000040480} is an apocalyptic number.

22952000040480 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 22952000040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49017613252608).

22952000040480 is an abundant number, since it is smaller than the sum of its proper divisors (75083226464736).

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

22952000040480 is a wasteful number, since it uses less digits than its factorization.

22952000040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22952000040480 in words is "twenty-two trillion, nine hundred fifty-two billion, forty thousand, four hundred eighty".