23440440096000 has 1152 divisors, whose sum is σ = 90742470174720. Its totient is φ = 5952061440000.

The previous prime is 23440440095981. The next prime is 23440440096013. The reversal of 23440440096000 is 69004404432.

23440440096000 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 0 + 4 + 40 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1502488200 + ... + 1502503800.

It is an arithmetic number, because the mean of its divisors is an integer number (78769505360).

Almost surely, 2^{23440440096000} is an apocalyptic number.

23440440096000 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 23440440096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45371235087360).

23440440096000 is an abundant number, since it is smaller than the sum of its proper divisors (67302030078720).

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

23440440096000 is a wasteful number, since it uses less digits than its factorization.

23440440096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23440440096000 in words is "twenty-three trillion, four hundred forty billion, four hundred forty million, ninety-six thousand".