23400537634404 has 384 divisors, whose sum is σ = 75312282931200. Its totient is φ = 6133554524160.

The previous prime is 23400537634387. The next prime is 23400537634451. The reversal of 23400537634404 is 40443673500432.

23400537634404 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 0 + 5 + 3 + 7 + 634 + 4 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23400537634404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112035412 + ... + 112244084.

It is an arithmetic number, because the mean of its divisors is an integer number (196125736800).

Almost surely, 2^{23400537634404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23400537634404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37656141465600).

23400537634404 is an abundant number, since it is smaller than the sum of its proper divisors (51911745296796).

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

23400537634404 is a wasteful number, since it uses less digits than its factorization.

23400537634404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208960 (or 208952 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 23400537634404 in words is "twenty-three trillion, four hundred billion, five hundred thirty-seven million, six hundred thirty-four thousand, four hundred four".