3941290756480 has 512 divisors, whose sum is σ = 11888276843520. Its totient is φ = 1223884062720.

The previous prime is 3941290756477. The next prime is 3941290756523. The reversal of 3941290756480 is 846570921493.

It is a super-2 number, since 2×3941290756480² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1830603084 + ... + 1830605236.

It is an arithmetic number, because the mean of its divisors is an integer number (23219290710).

It is a 1-persistent number, because it is pandigital, but 2⋅3941290756480 = 7882581512960 is not.

Almost surely, 2^{3941290756480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3941290756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944138421760).

3941290756480 is an abundant number, since it is smaller than the sum of its proper divisors (7946986087040).

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

3941290756480 is a wasteful number, since it uses less digits than its factorization.

3941290756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 3941290756480 in words is "three trillion, nine hundred forty-one billion, two hundred ninety million, seven hundred fifty-six thousand, four hundred eighty".