4102056458960 has 80 divisors (see below), whose sum is σ = 9587169120000. Its totient is φ = 1632243115008.

The previous prime is 4102056458947. The next prime is 4102056458977. The reversal of 4102056458960 is 698546502014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4102056458899 and 4102056458908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86724437 + ... + 86771723.

It is an arithmetic number, because the mean of its divisors is an integer number (119839614000).

Almost surely, 2^{4102056458960} is an apocalyptic number.

4102056458960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102056458960 is an abundant number, since it is smaller than the sum of its proper divisors (5485112661040).

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

4102056458960 is a wasteful number, since it uses less digits than its factorization.

4102056458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52948 (or 52942 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 4102056458960 in words is "four trillion, one hundred two billion, fifty-six million, four hundred fifty-eight thousand, nine hundred sixty".