23412400704000 has 5600 divisors, whose sum is σ = 117258610772160. Its totient is φ = 4608866304000.

The previous prime is 23412400703969. The next prime is 23412400704001. The reversal of 23412400704000 is 40700421432.

23412400704000 is a `hidden beast` number, since 234 + 1 + 24 + 0 + 0 + 7 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23412400704001) by changing a digit.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 1232231615991 + ... + 1232231616009.

Almost surely, 2^{23412400704000} is an apocalyptic number.

23412400704000 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 23412400704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58629305386080).

23412400704000 is an abundant number, since it is smaller than the sum of its proper divisors (93846210068160).

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

23412400704000 is an frugal number, since it uses more digits than its factorization.

23412400704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 23412400704000 in words is "twenty-three trillion, four hundred twelve billion, four hundred million, seven hundred four thousand".