434394393160 has 512 divisors, whose sum is σ = 1272238571520. Its totient is φ = 129815654400.

The previous prime is 434394393133. The next prime is 434394393217. The reversal of 434394393160 is 61393493434.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1534962379 + ... + 1534962661.

It is an arithmetic number, because the mean of its divisors is an integer number (2484840960).

Almost surely, 2^434394393160 is an apocalyptic number.

434394393160 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 434394393160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636119285760).

434394393160 is an abundant number, since it is smaller than the sum of its proper divisors (837844178360).

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

434394393160 is a wasteful number, since it uses less digits than its factorization.

434394393160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 49.

The spelling of 434394393160 in words is "four hundred thirty-four billion, three hundred ninety-four million, three hundred ninety-three thousand, one hundred sixty".