434204010421136 has 80 divisors (see below), whose sum is σ = 904714574918400. Its totient is φ = 201245059851264.

The previous prime is 434204010421063. The next prime is 434204010421151. The reversal of 434204010421136 is 631124010402434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434204010421096 and 434204010421105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30802301 + ... + 42628508.

It is an arithmetic number, because the mean of its divisors is an integer number (11308932186480).

Almost surely, 2^{434204010421136} is an apocalyptic number.

It is an amenable number.

434204010421136 is an abundant number, since it is smaller than the sum of its proper divisors (470510564497264).

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

434204010421136 is a wasteful number, since it uses less digits than its factorization.

434204010421136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73431256 (or 73431250 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 434204010421136 in words is "four hundred thirty-four trillion, two hundred four billion, ten million, four hundred twenty-one thousand, one hundred thirty-six".