23400238417920 has 5376 divisors, whose sum is σ = 114294922560000. Its totient is φ = 4550926270464.

The previous prime is 23400238417813. The next prime is 23400238417931. The reversal of 23400238417920 is 2971483200432.

23400238417920 is a `hidden beast` number, since 2 + 3 + 400 + 238 + 4 + 1 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 632438876142 + ... + 632438876178.

It is an arithmetic number, because the mean of its divisors is an integer number (21260216250).

Almost surely, 2^{23400238417920} is an apocalyptic number.

23400238417920 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 23400238417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57147461280000).

23400238417920 is an abundant number, since it is smaller than the sum of its proper divisors (90894684142080).

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

23400238417920 is an equidigital number, since it uses as much as digits as its factorization.

23400238417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 23400238417920 in words is "twenty-three trillion, four hundred billion, two hundred thirty-eight million, four hundred seventeen thousand, nine hundred twenty".