2300423200400 has 90 divisors (see below), whose sum is σ = 5984605579590. Its totient is φ = 849387002880.

The previous prime is 2300423200393. The next prime is 2300423200441. The reversal of 2300423200400 is 40023240032.

2300423200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 1402954967296 + 897468233104 = 1184464^2 + 947348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16947365 + ... + 17082564.

It is an arithmetic number, because the mean of its divisors is an integer number (66495617551).

Almost surely, 2^{2300423200400} is an apocalyptic number.

2300423200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300423200400 is an abundant number, since it is smaller than the sum of its proper divisors (3684182379190).

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

2300423200400 is a wasteful number, since it uses less digits than its factorization.

2300423200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34029973 (or 34029949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2300423200400 its reverse (40023240032), we get a palindrome (2340446440432).

The spelling of 2300423200400 in words is "two trillion, three hundred billion, four hundred twenty-three million, two hundred thousand, four hundred".