431053089480 has 320 divisors, whose sum is σ = 1589712006960. Its totient is φ = 104102848512.

The previous prime is 431053089461. The next prime is 431053089487. The reversal of 431053089480 is 84980350134.

431053089480 is a `hidden beast` number, since 4 + 31 + 0 + 530 + 8 + 9 + 4 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 45121406724 + 385931682756 = 212418^2 + 621234^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (431053089487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2135814 + ... + 2328906.

Almost surely, 2^431053089480 is an apocalyptic number.

431053089480 is a gapful number since it is divisible by the number (40) 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 431053089480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794856003480).

431053089480 is an abundant number, since it is smaller than the sum of its proper divisors (1158658917480).

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

431053089480 is a wasteful number, since it uses less digits than its factorization.

431053089480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193182 (or 193169 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 431053089480 in words is "four hundred thirty-one billion, fifty-three million, eighty-nine thousand, four hundred eighty".