23434240400 has 60 divisors (see below), whose sum is σ = 56355442500. Its totient is φ = 9364592640.

The previous prime is 23434240397. The next prime is 23434240411. The reversal of 23434240400 is 404243432.

It can be written as a sum of positive squares in 6 ways, for example, as 2005964944 + 21428275456 = 44788^2 + 146384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23434240400.

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, 391676 + ... + 447524.

It is an arithmetic number, because the mean of its divisors is an integer number (939257375).

Almost surely, 2^23434240400 is an apocalyptic number.

23434240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23434240400 is an abundant number, since it is smaller than the sum of its proper divisors (32921202100).

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

23434240400 is a wasteful number, since it uses less digits than its factorization.

23434240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56916 (or 56905 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 23434240400 its reverse (404243432), we get a palindrome (23838483832).

The spelling of 23434240400 in words is "twenty-three billion, four hundred thirty-four million, two hundred forty thousand, four hundred".