23200400413014 has 128 divisors (see below), whose sum is σ = 51325659072000. Its totient is φ = 6932732083200.

The previous prime is 23200400413009. The next prime is 23200400413019. The reversal of 23200400413014 is 41031400400232.

It is an interprime number because it is at equal distance from previous prime (23200400413009) and next prime (23200400413019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200400413019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7118869317 + ... + 7118872575.

It is an arithmetic number, because the mean of its divisors is an integer number (400981711500).

Almost surely, 2^{23200400413014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23200400413014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662829536000).

23200400413014 is an abundant number, since it is smaller than the sum of its proper divisors (28125258658986).

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

23200400413014 is a wasteful number, since it uses less digits than its factorization.

23200400413014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23200400413014 its reverse (41031400400232), we get a palindrome (64231800813246).

The spelling of 23200400413014 in words is "twenty-three trillion, two hundred billion, four hundred million, four hundred thirteen thousand, fourteen".