431379527040 has 512 divisors, whose sum is σ = 1904798592000. Its totient is φ = 89637027840.

The previous prime is 431379527021. The next prime is 431379527063. The reversal of 431379527040 is 40725973134.

431379527040 is a `hidden beast` number, since 4 + 3 + 1 + 379 + 5 + 270 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168456 + ... + 1492664.

It is an arithmetic number, because the mean of its divisors is an integer number (3720309750).

Almost surely, 2^431379527040 is an apocalyptic number.

431379527040 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 431379527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952399296000).

431379527040 is an abundant number, since it is smaller than the sum of its proper divisors (1473419064960).

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

431379527040 is a wasteful number, since it uses less digits than its factorization.

431379527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324255 (or 324237 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 431379527040 in words is "four hundred thirty-one billion, three hundred seventy-nine million, five hundred twenty-seven thousand, forty".