431949935340 has 576 divisors, whose sum is σ = 1683333550080. Its totient is φ = 87059681280.

The previous prime is 431949935323. The next prime is 431949935383. The reversal of 431949935340 is 43539949134.

431949935340 is a `hidden beast` number, since 4 + 3 + 19 + 4 + 9 + 93 + 534 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65374317 + ... + 65380923.

It is an arithmetic number, because the mean of its divisors is an integer number (2922454080).

Almost surely, 2^431949935340 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 431949935340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841666775040).

431949935340 is an abundant number, since it is smaller than the sum of its proper divisors (1251383614740).

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

431949935340 is a wasteful number, since it uses less digits than its factorization.

431949935340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 431949935340 in words is "four hundred thirty-one billion, nine hundred forty-nine million, nine hundred thirty-five thousand, three hundred forty".