23040414100 has 72 divisors (see below), whose sum is σ = 54599630400. Its totient is φ = 8369625600.

The previous prime is 23040414097. The next prime is 23040414107. The reversal of 23040414100 is 141404032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23040414107) 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, 1099521 + ... + 1120279.

It is an arithmetic number, because the mean of its divisors is an integer number (758328200).

Almost surely, 2^23040414100 is an apocalyptic number.

23040414100 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 23040414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27299815200).

23040414100 is an abundant number, since it is smaller than the sum of its proper divisors (31559216300).

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

23040414100 is a wasteful number, since it uses less digits than its factorization.

23040414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21793 (or 21786 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 23040414100 its reverse (141404032), we get a palindrome (23181818132).

The spelling of 23040414100 in words is "twenty-three billion, forty million, four hundred fourteen thousand, one hundred".