230044200020400 has 120 divisors (see below), whose sum is σ = 736970606816704. Its totient is φ = 61339929350400.

The previous prime is 230044200020387. The next prime is 230044200020423. The reversal of 230044200020400 is 4020002440032.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6087915 + ... + 22296885.

Almost surely, 2^{230044200020400} is an apocalyptic number.

230044200020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230044200020400 is an abundant number, since it is smaller than the sum of its proper divisors (506926406796304).

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

230044200020400 is a wasteful number, since it uses less digits than its factorization.

230044200020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16220819 (or 16220808 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 230044200020400 its reverse (4020002440032), we get a palindrome (234064202460432).

The spelling of 230044200020400 in words is "two hundred thirty trillion, forty-four billion, two hundred million, twenty thousand, four hundred".