23380387430400 has 3780 divisors, whose sum is σ = 117178094021296. Its totient is φ = 4484549836800.

The previous prime is 23380387430399. The next prime is 23380387430453. The reversal of 23380387430400 is 403478308332.

23380387430400 is a `hidden beast` number, since 2 + 338 + 0 + 3 + 8 + 7 + 4 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

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 179 ways as a sum of consecutive naturals, for example, 1798491340794 + ... + 1798491340806.

Almost surely, 2^{23380387430400} is an apocalyptic number.

23380387430400 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 23380387430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58589047010648).

23380387430400 is an abundant number, since it is smaller than the sum of its proper divisors (93797706590896).

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

23380387430400 is an frugal number, since it uses more digits than its factorization.

23380387430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 23380387430400 in words is "twenty-three trillion, three hundred eighty billion, three hundred eighty-seven million, four hundred thirty thousand, four hundred".