434257410664 has 192 divisors, whose sum is σ = 1052410060800. Its totient is φ = 166066992000.

The previous prime is 434257410649. The next prime is 434257410679. The reversal of 434257410664 is 466014752434.

It is an interprime number because it is at equal distance from previous prime (434257410649) and next prime (434257410679).

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, 292822867 + ... + 292824349.

It is an arithmetic number, because the mean of its divisors is an integer number (5481302400).

Almost surely, 2^434257410664 is an apocalyptic number.

434257410664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434257410664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526205030400).

434257410664 is an abundant number, since it is smaller than the sum of its proper divisors (618152650136).

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

434257410664 is a wasteful number, since it uses less digits than its factorization.

434257410664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 434257410664 in words is "four hundred thirty-four billion, two hundred fifty-seven million, four hundred ten thousand, six hundred sixty-four".