23042433424032 has 72 divisors (see below), whose sum is σ = 71483912791200. Its totient is φ = 6982555582080.

The previous prime is 23042433424007. The next prime is 23042433424057.

23042433424032 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 243 + 3 + 4 + 2 + 403 + 2 = 666.

23042433424032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23042433424007) and next prime (23042433424057).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3636744532 + ... + 3636750867.

It is an arithmetic number, because the mean of its divisors is an integer number (992832122100).

Almost surely, 2^{23042433424032} is an apocalyptic number.

23042433424032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23042433424032 is an abundant number, since it is smaller than the sum of its proper divisors (48441479367168).

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

23042433424032 is a wasteful number, since it uses less digits than its factorization.

23042433424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273495426 (or 7273495415 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 2304243 and 3424032, that added together give a palindrome (5728275).

The spelling of 23042433424032 in words is "twenty-three trillion, forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, thirty-two".