434242781761100 has 36 divisors (see below), whose sum is σ = 1014791977687824. Its totient is φ = 160335796342080.

The previous prime is 434242781761067. The next prime is 434242781761111. The reversal of 434242781761100 is 1167187242434.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 167016453224 + ... + 167016455823.

It is an arithmetic number, because the mean of its divisors is an integer number (28188666046884).

Almost surely, 2^{434242781761100} is an apocalyptic number.

It is an amenable number.

434242781761100 is an abundant number, since it is smaller than the sum of its proper divisors (580549195926724).

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

434242781761100 is a wasteful number, since it uses less digits than its factorization.

434242781761100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334032909074 (or 334032909067 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 434242781761100 in words is "four hundred thirty-four trillion, two hundred forty-two billion, seven hundred eighty-one million, seven hundred sixty-one thousand, one hundred".