230011401010400 has 72 divisors (see below), whose sum is σ = 561519160254864. Its totient is φ = 92003933260800.

The previous prime is 230011401010337. The next prime is 230011401010411. The reversal of 230011401010400 is 4010104110032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126876749 + ... + 128676851.

It is an arithmetic number, because the mean of its divisors is an integer number (7798877225762).

Almost surely, 2^{230011401010400} is an apocalyptic number.

230011401010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230011401010400 is an abundant number, since it is smaller than the sum of its proper divisors (331507759244464).

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

230011401010400 is a wasteful number, since it uses less digits than its factorization.

230011401010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959844 (or 1959831 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 230011401010400 its reverse (4010104110032), we get a palindrome (234021505120432).

The spelling of 230011401010400 in words is "two hundred thirty trillion, eleven billion, four hundred one million, ten thousand, four hundred".