23038525440 has 760 divisors, whose sum is σ = 97441884672. Its totient is φ = 5096079360.

The previous prime is 23038525399. The next prime is 23038525441. The reversal of 23038525440 is 4452583032.

23038525440 is a `hidden beast` number, since 2 + 30 + 3 + 85 + 2 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23038525395 and 23038525404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23038525441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743178225 + ... + 743178255.

Almost surely, 2^23038525440 is an apocalyptic number.

23038525440 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 23038525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48720942336).

23038525440 is an abundant number, since it is smaller than the sum of its proper divisors (74403359232).

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

23038525440 is an frugal number, since it uses more digits than its factorization.

23038525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 23038525440 in words is "twenty-three billion, thirty-eight million, five hundred twenty-five thousand, four hundred forty".