434042762868 has 360 divisors, whose sum is σ = 1348895582496. Its totient is φ = 120638419200.

The previous prime is 434042762849. The next prime is 434042762911. The reversal of 434042762868 is 868267240434.

434042762868 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 4 + 2 + 7 + 628 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98175298 + ... + 98179718.

Almost surely, 2^434042762868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434042762868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674447791248).

434042762868 is an abundant number, since it is smaller than the sum of its proper divisors (914852819628).

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

434042762868 is a wasteful number, since it uses less digits than its factorization.

434042762868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 434042762868 in words is "four hundred thirty-four billion, forty-two million, seven hundred sixty-two thousand, eight hundred sixty-eight".