431742128640 has 640 divisors, whose sum is σ = 1460203683840. Its totient is φ = 108689817600.

The previous prime is 431742128591. The next prime is 431742128659. The reversal of 431742128640 is 46821247134.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 431742128592 and 431742128601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3295741375 + ... + 3295741505.

It is an arithmetic number, because the mean of its divisors is an integer number (2281568256).

Almost surely, 2^431742128640 is an apocalyptic number.

431742128640 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 431742128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730101841920).

431742128640 is an abundant number, since it is smaller than the sum of its proper divisors (1028461555200).

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

431742128640 is a wasteful number, since it uses less digits than its factorization.

431742128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 431742128640 in words is "four hundred thirty-one billion, seven hundred forty-two million, one hundred twenty-eight thousand, six hundred forty".