431994478800 has 60 divisors (see below), whose sum is σ = 1383822317600. Its totient is φ = 115198527360.

The previous prime is 431994478771. The next prime is 431994478807. The reversal of 431994478800 is 8874499134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431994478807) 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, 179996500 + ... + 179998899.

Almost surely, 2^431994478800 is an apocalyptic number.

431994478800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431994478800 is an abundant number, since it is smaller than the sum of its proper divisors (951827838800).

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

431994478800 is a wasteful number, since it uses less digits than its factorization.

431994478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359995420 (or 359995409 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 431994478800 in words is "four hundred thirty-one billion, nine hundred ninety-four million, four hundred seventy-eight thousand, eight hundred".