431234977212 has 576 divisors, whose sum is σ = 1317580992000. Its totient is φ = 117702014976.

The previous prime is 431234977189. The next prime is 431234977213. The reversal of 431234977212 is 212779432134.

431234977212 is a `hidden beast` number, since 4 + 312 + 34 + 97 + 7 + 212 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431234977213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1899713443 + ... + 1899713669.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467000).

Almost surely, 2^431234977212 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 431234977212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496000).

431234977212 is an abundant number, since it is smaller than the sum of its proper divisors (886346014788).

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

431234977212 is a wasteful number, since it uses less digits than its factorization.

431234977212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 431234977212 in words is "four hundred thirty-one billion, two hundred thirty-four million, nine hundred seventy-seven thousand, two hundred twelve".