164131412400 has 120 divisors (see below), whose sum is σ = 584186287760. Its totient is φ = 43768373760.

The previous prime is 164131412399. The next prime is 164131412407. The reversal of 164131412400 is 4214131461.

164131412400 is a `hidden beast` number, since 1 + 6 + 413 + 1 + 4 + 1 + 240 + 0 = 666.

164131412400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164131412407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587877 + ... + 7609476.

Almost surely, 2^164131412400 is an apocalyptic number.

164131412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164131412400 is an abundant number, since it is smaller than the sum of its proper divisors (420054875360).

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

164131412400 is a wasteful number, since it uses less digits than its factorization.

164131412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15197380 (or 15197363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 164131412400 its reverse (4214131461), we get a palindrome (168345543861).

The spelling of 164131412400 in words is "one hundred sixty-four billion, one hundred thirty-one million, four hundred twelve thousand, four hundred".