434660097312 has 72 divisors (see below), whose sum is σ = 1412645322816. Its totient is φ = 124188598656.

The previous prime is 434660097299. The next prime is 434660097343. The reversal of 434660097312 is 213790066434.

434660097312 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 600 + 9 + 7 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107800588 + ... + 107804619.

It is an arithmetic number, because the mean of its divisors is an integer number (19620073928).

Almost surely, 2^434660097312 is an apocalyptic number.

434660097312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434660097312 is an abundant number, since it is smaller than the sum of its proper divisors (977985225504).

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

434660097312 is a wasteful number, since it uses less digits than its factorization.

434660097312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215605230 (or 215605219 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 434660097312 in words is "four hundred thirty-four billion, six hundred sixty million, ninety-seven thousand, three hundred twelve".