434355141553434 has 64 divisors (see below), whose sum is σ = 968679564641280. Its totient is φ = 144269075358720.

The previous prime is 434355141553381. The next prime is 434355141553469.

434355141553434 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 5 + 5 + 1 + 41 + 553 + 43 + 4 = 666.

434355141553434 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4360042 + ... + 29794634.

It is an arithmetic number, because the mean of its divisors is an integer number (15135618197520).

Almost surely, 2^{434355141553434} is an apocalyptic number.

434355141553434 is an abundant number, since it is smaller than the sum of its proper divisors (534324423087846).

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

434355141553434 is a wasteful number, since it uses less digits than its factorization.

434355141553434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25435732 (or 25435726 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 434355141553434 in words is "four hundred thirty-four trillion, three hundred fifty-five billion, one hundred forty-one million, five hundred fifty-three thousand, four hundred thirty-four".