3901911671040 has 288 divisors, whose sum is σ = 13146178953600. Its totient is φ = 983599349760.

The previous prime is 3901911671033. The next prime is 3901911671071. The reversal of 3901911671040 is 401761191093.

It is a junction number, because it is equal to n+sod(n) for n = 3901911670983 and 3901911671001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33576556 + ... + 33692564.

It is an arithmetic number, because the mean of its divisors is an integer number (45646454700).

Almost surely, 2^{3901911671040} is an apocalyptic number.

3901911671040 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 3901911671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573089476800).

3901911671040 is an abundant number, since it is smaller than the sum of its proper divisors (9244267282560).

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

3901911671040 is a wasteful number, since it uses less digits than its factorization.

3901911671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116513 (or 116499 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 3901911671040 in words is "three trillion, nine hundred one billion, nine hundred eleven million, six hundred seventy-one thousand, forty".