434678016828 has 96 divisors (see below), whose sum is σ = 1144855192320. Its totient is φ = 127150912000.

The previous prime is 434678016791. The next prime is 434678016917. The reversal of 434678016828 is 828610876434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23460208 + ... + 23478728.

It is an arithmetic number, because the mean of its divisors is an integer number (11925574920).

Almost surely, 2^434678016828 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 434678016828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572427596160).

434678016828 is an abundant number, since it is smaller than the sum of its proper divisors (710177175492).

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

434678016828 is a wasteful number, since it uses less digits than its factorization.

434678016828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24699 (or 24697 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 434678016828 in words is "four hundred thirty-four billion, six hundred seventy-eight million, sixteen thousand, eight hundred twenty-eight".