23134141440400 has 120 divisors (see below), whose sum is σ = 58516310966400. Its totient is φ = 8764931059200.

The previous prime is 23134141440391. The next prime is 23134141440407. The reversal of 23134141440400 is 404414143132.

It is not an unprimeable number, because it can be changed into a prime (23134141440407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39464646 + ... + 40046554.

It is an arithmetic number, because the mean of its divisors is an integer number (487635924720).

Almost surely, 2^{23134141440400} is an apocalyptic number.

23134141440400 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 23134141440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258155483200).

23134141440400 is an abundant number, since it is smaller than the sum of its proper divisors (35382169526000).

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

23134141440400 is a wasteful number, since it uses less digits than its factorization.

23134141440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587177 (or 587166 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 23134141440400 its reverse (404414143132), we get a palindrome (23538555583532).

The spelling of 23134141440400 in words is "twenty-three trillion, one hundred thirty-four billion, one hundred forty-one million, four hundred forty thousand, four hundred".