230344341024400 has 60 divisors (see below), whose sum is σ = 553403741463972. Its totient is φ = 92137492971520.

The previous prime is 230344341024373. The next prime is 230344341024407. The reversal of 230344341024400 is 4420143443032.

It can be written as a sum of positive squares in 6 ways, for example, as 2211954205696 + 228132386818704 = 1487264^2 + 15104052^2 .

It is not an unprimeable number, because it can be changed into a prime (230344341024407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282454032 + ... + 283268368.

Almost surely, 2^{230344341024400} is an apocalyptic number.

230344341024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230344341024400 is an abundant number, since it is smaller than the sum of its proper divisors (323059400439572).

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

230344341024400 is a wasteful number, since it uses less digits than its factorization.

230344341024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521508 (or 1521497 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 230344341024400 its reverse (4420143443032), we get a palindrome (234764484467432).

The spelling of 230344341024400 in words is "two hundred thirty trillion, three hundred forty-four billion, three hundred forty-one million, twenty-four thousand, four hundred".