434987873184 has 96 divisors (see below), whose sum is σ = 1210415270400. Its totient is φ = 136308211712.

The previous prime is 434987873143. The next prime is 434987873209. The reversal of 434987873184 is 481378789434.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253992 + ... + 1562840.

It is an arithmetic number, because the mean of its divisors is an integer number (12608492400).

Almost surely, 2^434987873184 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 434987873184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605207635200).

434987873184 is an abundant number, since it is smaller than the sum of its proper divisors (775427397216).

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

434987873184 is a wasteful number, since it uses less digits than its factorization.

434987873184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309742 (or 309734 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 66.

The spelling of 434987873184 in words is "four hundred thirty-four billion, nine hundred eighty-seven million, eight hundred seventy-three thousand, one hundred eighty-four".