834288321120 has 96 divisors (see below), whose sum is σ = 2657536529760. Its totient is φ = 219977134080.

The previous prime is 834288321067. The next prime is 834288321131. The reversal of 834288321120 is 21123882438.

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, 9721891 + ... + 9807330.

It is an arithmetic number, because the mean of its divisors is an integer number (27682672185).

Almost surely, 2^834288321120 is an apocalyptic number.

834288321120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834288321120 is an abundant number, since it is smaller than the sum of its proper divisors (1823248208640).

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

834288321120 is a wasteful number, since it uses less digits than its factorization.

834288321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19529328 (or 19529320 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 834288321120 in words is "eight hundred thirty-four billion, two hundred eighty-eight million, three hundred twenty-one thousand, one hundred twenty".