431979664900 has 288 divisors, whose sum is σ = 1142326886400. Its totient is φ = 138674764800.

The previous prime is 431979664873. The next prime is 431979664901. The reversal of 431979664900 is 9466979134.

It is not an unprimeable number, because it can be changed into a prime (431979664901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90768721 + ... + 90773479.

It is an arithmetic number, because the mean of its divisors is an integer number (3966412800).

Almost surely, 2^431979664900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431979664900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571163443200).

431979664900 is an abundant number, since it is smaller than the sum of its proper divisors (710347221500).

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

431979664900 is a wasteful number, since it uses less digits than its factorization.

431979664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 431979664900 in words is "four hundred thirty-one billion, nine hundred seventy-nine million, six hundred sixty-four thousand, nine hundred".