3964110807040 has 448 divisors, whose sum is σ = 10105814492928. Its totient is φ = 1490603212800.

The previous prime is 3964110807029. The next prime is 3964110807061. The reversal of 3964110807040 is 407080114693.

It is a super-2 number, since 2×3964110807040² (a number of 26 digits) contains 22 as substring.

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, 8139857677 + ... + 8139858163.

It is an arithmetic number, because the mean of its divisors is an integer number (22557621636).

Almost surely, 2^{3964110807040} 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 3964110807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052907246464).

3964110807040 is an abundant number, since it is smaller than the sum of its proper divisors (6141703685888).

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

3964110807040 is a wasteful number, since it uses less digits than its factorization.

3964110807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 3964110807040 in words is "three trillion, nine hundred sixty-four billion, one hundred ten million, eight hundred seven thousand, forty".