23625379090440 has 384 divisors, whose sum is σ = 81610420320000. Its totient is φ = 5910479124480.

The previous prime is 23625379090429. The next prime is 23625379090493. The reversal of 23625379090440 is 4409097352632.

23625379090440 is a `hidden beast` number, since 2 + 3 + 6 + 25 + 3 + 7 + 90 + 90 + 440 = 666.

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, 1520189070 + ... + 1520204610.

It is an arithmetic number, because the mean of its divisors is an integer number (212527136250).

Almost surely, 2^{23625379090440} is an apocalyptic number.

23625379090440 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 23625379090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40805210160000).

23625379090440 is an abundant number, since it is smaller than the sum of its proper divisors (57985041229560).

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

23625379090440 is a wasteful number, since it uses less digits than its factorization.

23625379090440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17725 (or 17718 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 23625379090440 in words is "twenty-three trillion, six hundred twenty-five billion, three hundred seventy-nine million, ninety thousand, four hundred forty".