23042936318400 has 1008 divisors, whose sum is σ = 86179632364800. Its totient is φ = 5831958528000.

The previous prime is 23042936318387. The next prime is 23042936318401. The reversal of 23042936318400 is 481363924032.

23042936318400 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 2 + 9 + 3 + 631 + 8 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23042936318401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11137232566 + ... + 11137234634.

Almost surely, 2^{23042936318400} is an apocalyptic number.

23042936318400 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 23042936318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43089816182400).

23042936318400 is an abundant number, since it is smaller than the sum of its proper divisors (63136696046400).

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

23042936318400 is a wasteful number, since it uses less digits than its factorization.

23042936318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23042936318400 in words is "twenty-three trillion, forty-two billion, nine hundred thirty-six million, three hundred eighteen thousand, four hundred".