434601316464 has 160 divisors (see below), whose sum is σ = 1293810524160. Its totient is φ = 123138199296.

The previous prime is 434601316459. The next prime is 434601316477. The reversal of 434601316464 is 464613106434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 45157957 + ... + 45167579.

It is an arithmetic number, because the mean of its divisors is an integer number (8086315776).

Almost surely, 2^434601316464 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 434601316464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646905262080).

434601316464 is an abundant number, since it is smaller than the sum of its proper divisors (859209207696).

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

434601316464 is a wasteful number, since it uses less digits than its factorization.

434601316464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10747 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 434601316464 in words is "four hundred thirty-four billion, six hundred one million, three hundred sixteen thousand, four hundred sixty-four".