3965112488040 has 256 divisors, whose sum is σ = 13103656416000. Its totient is φ = 951872225280.

The previous prime is 3965112488039. The next prime is 3965112488083. The reversal of 3965112488040 is 408842115693.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73936756 + ... + 73990364.

It is an arithmetic number, because the mean of its divisors is an integer number (51186157875).

Almost surely, 2^{3965112488040} is an apocalyptic number.

3965112488040 is a gapful number since it is divisible by the number (30) 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 3965112488040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551828208000).

3965112488040 is an abundant number, since it is smaller than the sum of its proper divisors (9138543927960).

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

3965112488040 is a wasteful number, since it uses less digits than its factorization.

3965112488040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54180 (or 54176 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 3965112488040 in words is "three trillion, nine hundred sixty-five billion, one hundred twelve million, four hundred eighty-eight thousand, forty".