10434482016 has 96 divisors (see below), whose sum is σ = 32951036160. Its totient is φ = 2824367616.

The previous prime is 10434481973. The next prime is 10434482021. The reversal of 10434482016 is 61028443401.

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, 395851 + ... + 421386.

It is an arithmetic number, because the mean of its divisors is an integer number (343239960).

Almost surely, 2^10434482016 is an apocalyptic number.

10434482016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10434482016 is an abundant number, since it is smaller than the sum of its proper divisors (22516554144).

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

10434482016 is a wasteful number, since it uses less digits than its factorization.

10434482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817276 (or 817268 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 10434482016 in words is "ten billion, four hundred thirty-four million, four hundred eighty-two thousand, sixteen".