434699628688 has 240 divisors, whose sum is σ = 982189635840. Its totient is φ = 185822208000.

The previous prime is 434699628679. The next prime is 434699628707. The reversal of 434699628688 is 886826996434.

It is a self number, because there is not a number n which added to its sum of digits gives 434699628688.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385030108 + ... + 385031236.

It is an arithmetic number, because the mean of its divisors is an integer number (4092456816).

Almost surely, 2^434699628688 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 434699628688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491094817920).

434699628688 is an abundant number, since it is smaller than the sum of its proper divisors (547490007152).

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

434699628688 is a wasteful number, since it uses less digits than its factorization.

434699628688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1359 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 73.

The spelling of 434699628688 in words is "four hundred thirty-four billion, six hundred ninety-nine million, six hundred twenty-eight thousand, six hundred eighty-eight".