23034142400 has 84 divisors (see below), whose sum is σ = 57125177088. Its totient is φ = 9141027840.

The previous prime is 23034142399. The next prime is 23034142423. The reversal of 23034142400 is 424143032.

It is a super-2 number, since 2×23034142400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146522 + ... + 259878.

It is an arithmetic number, because the mean of its divisors is an integer number (680061632).

Almost surely, 2^23034142400 is an apocalyptic number.

23034142400 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 23034142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28562588544).

23034142400 is an abundant number, since it is smaller than the sum of its proper divisors (34091034688).

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

23034142400 is a wasteful number, since it uses less digits than its factorization.

23034142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113506 (or 113491 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23034142400 its reverse (424143032), we get a palindrome (23458285432).

The spelling of 23034142400 in words is "twenty-three billion, thirty-four million, one hundred forty-two thousand, four hundred".