23923261440 has 504 divisors, whose sum is σ = 92106871920. Its totient is φ = 5888802816.

The previous prime is 23923261337. The next prime is 23923261457. The reversal of 23923261440 is 4416232932.

23923261440 is a `hidden beast` number, since 2 + 3 + 9 + 2 + 32 + 614 + 4 + 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 = 23923261395 and 23923261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1840250874 + ... + 1840250886.

It is an arithmetic number, because the mean of its divisors is an integer number (182751730).

Almost surely, 2^23923261440 is an apocalyptic number.

23923261440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23923261440 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23923261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46053435960).

23923261440 is an abundant number, since it is smaller than the sum of its proper divisors (68183610480).

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

23923261440 is an frugal number, since it uses more digits than its factorization.

23923261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23923261440 in words is "twenty-three billion, nine hundred twenty-three million, two hundred sixty-one thousand, four hundred forty".