834442013280 has 96 divisors (see below), whose sum is σ = 2637463749984. Its totient is φ = 221758386176.

The previous prime is 834442013267. The next prime is 834442013309. The reversal of 834442013280 is 82310244438.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2825949 + ... + 3107228.

It is an arithmetic number, because the mean of its divisors is an integer number (27473580729).

Almost surely, 2^834442013280 is an apocalyptic number.

834442013280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834442013280 is an abundant number, since it is smaller than the sum of its proper divisors (1803021736704).

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

834442013280 is a wasteful number, since it uses less digits than its factorization.

834442013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933488 (or 5933480 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 834442013280 in words is "eight hundred thirty-four billion, four hundred forty-two million, thirteen thousand, two hundred eighty".