4056130596000 has 384 divisors, whose sum is σ = 15190579482624. Its totient is φ = 926845363200.

The previous prime is 4056130595999. The next prime is 4056130596041. The reversal of 4056130596000 is 6950316504.

It is a self number, because there is not a number n which added to its sum of digits gives 4056130596000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497863927 + ... + 497872073.

It is an arithmetic number, because the mean of its divisors is an integer number (39558800736).

Almost surely, 2^{4056130596000} is an apocalyptic number.

4056130596000 is a gapful number since it is divisible by the number (40) 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 4056130596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595289741312).

4056130596000 is an abundant number, since it is smaller than the sum of its proper divisors (11134448886624).

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

4056130596000 is a wasteful number, since it uses less digits than its factorization.

4056130596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14109 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 4056130596000 in words is "four trillion, fifty-six billion, one hundred thirty million, five hundred ninety-six thousand".