431224795872 has 240 divisors, whose sum is σ = 1437660599760. Its totient is φ = 125700968448.

The previous prime is 431224795811. The next prime is 431224795873. The reversal of 431224795872 is 278597422134.

431224795872 is a `hidden beast` number, since 4 + 3 + 12 + 2 + 47 + 9 + 587 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431224795873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303448 + ... + 977000.

It is an arithmetic number, because the mean of its divisors is an integer number (5990252499).

Almost surely, 2^431224795872 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 431224795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718830299880).

431224795872 is an abundant number, since it is smaller than the sum of its proper divisors (1006435803888).

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

431224795872 is a wasteful number, since it uses less digits than its factorization.

431224795872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673607 (or 673590 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 431224795872 in words is "four hundred thirty-one billion, two hundred twenty-four million, seven hundred ninety-five thousand, eight hundred seventy-two".