434717850470080 has 112 divisors (see below), whose sum is σ = 1037179815465024. Its totient is φ = 173550176501760.

The previous prime is 434717850470021. The next prime is 434717850470107. The reversal of 434717850470080 is 80074058717434.

It is a junction number, because it is equal to n+sod(n) for n = 434717850469997 and 434717850470024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340169584 + ... + 341445136.

It is an arithmetic number, because the mean of its divisors is an integer number (9260534066652).

Almost surely, 2^{434717850470080} is an apocalyptic number.

434717850470080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434717850470080 is an abundant number, since it is smaller than the sum of its proper divisors (602461964994944).

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

434717850470080 is a wasteful number, since it uses less digits than its factorization.

434717850470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277634 (or 1277624 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 58.

The spelling of 434717850470080 in words is "four hundred thirty-four trillion, seven hundred seventeen billion, eight hundred fifty million, four hundred seventy thousand, eighty".