431511881472 has 864 divisors, whose sum is σ = 1556024924160. Its totient is φ = 117468610560.

The previous prime is 431511881461. The next prime is 431511881543. The reversal of 431511881472 is 274188115134.

431511881472 is a `hidden beast` number, since 43 + 1 + 51 + 18 + 81 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766450663 + ... + 766451225.

Almost surely, 2^431511881472 is an apocalyptic number.

431511881472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431511881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778012462080).

431511881472 is an abundant number, since it is smaller than the sum of its proper divisors (1124513042688).

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

431511881472 is a wasteful number, since it uses less digits than its factorization.

431511881472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 679 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 431511881472 in words is "four hundred thirty-one billion, five hundred eleven million, eight hundred eighty-one thousand, four hundred seventy-two".