23114042400 has 144 divisors (see below), whose sum is σ = 75716653824. Its totient is φ = 6124385280.

The previous prime is 23114042389. The next prime is 23114042411. The reversal of 23114042400 is 424041132.

It is an interprime number because it is at equal distance from previous prime (23114042389) and next prime (23114042411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346129 + ... + 407471.

It is an arithmetic number, because the mean of its divisors is an integer number (525810096).

Almost surely, 2^23114042400 is an apocalyptic number.

23114042400 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 23114042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37858326912).

23114042400 is an abundant number, since it is smaller than the sum of its proper divisors (52602611424).

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

23114042400 is a wasteful number, since it uses less digits than its factorization.

23114042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61523 (or 61510 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23114042400 its reverse (424041132), we get a palindrome (23538083532).

The spelling of 23114042400 in words is "twenty-three billion, one hundred fourteen million, forty-two thousand, four hundred".