431197984224 has 120 divisors (see below), whose sum is σ = 1449304396848. Its totient is φ = 123199418880.

The previous prime is 431197984199. The next prime is 431197984229. The reversal of 431197984224 is 422489791134.

431197984224 is a `hidden beast` number, since 43 + 1 + 1 + 97 + 98 + 422 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431197984229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11864517 + ... + 11900804.

Almost surely, 2^431197984224 is an apocalyptic number.

It is an amenable number.

431197984224 is an abundant number, since it is smaller than the sum of its proper divisors (1018106412624).

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

431197984224 is a wasteful number, since it uses less digits than its factorization.

431197984224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23765350 (or 23765333 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 431197984224 in words is "four hundred thirty-one billion, one hundred ninety-seven million, nine hundred eighty-four thousand, two hundred twenty-four".