4102056610512 has 160 divisors (see below), whose sum is σ = 12453402931200. Its totient is φ = 1139081763840.

The previous prime is 4102056610507. The next prime is 4102056610601. The reversal of 4102056610512 is 2150166502014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3056989 + ... + 4189187.

It is an arithmetic number, because the mean of its divisors is an integer number (77833768320).

Almost surely, 2^{4102056610512} is an apocalyptic number.

4102056610512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102056610512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226701465600).

4102056610512 is an abundant number, since it is smaller than the sum of its proper divisors (8351346320688).

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

4102056610512 is a wasteful number, since it uses less digits than its factorization.

4102056610512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132521 (or 1132515 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 4102056610512 in words is "four trillion, one hundred two billion, fifty-six million, six hundred ten thousand, five hundred twelve".