23432130102400 has 48 divisors (see below), whose sum is σ = 57884683901490. Its totient is φ = 9372852039680.

The previous prime is 23432130102347. The next prime is 23432130102401. The reversal of 23432130102400 is 420103123432.

It can be written as a sum of positive squares in 3 ways, for example, as 20044675128384 + 3387454974016 = 4477128^2 + 1840504^2 .

It is a super-2 number, since 2×23432130102400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23432130102401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3661267129 + ... + 3661273528.

Almost surely, 2^{23432130102400} is an apocalyptic number.

23432130102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23432130102400 is an abundant number, since it is smaller than the sum of its proper divisors (34452553799090).

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

23432130102400 is an equidigital number, since it uses as much as digits as its factorization.

23432130102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322540681 (or 7322540664 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 23432130102400 its reverse (420103123432), we get a palindrome (23852233225832).

The spelling of 23432130102400 in words is "twenty-three trillion, four hundred thirty-two billion, one hundred thirty million, one hundred two thousand, four hundred".