3917997893040 has 320 divisors, whose sum is σ = 15801192087552. Its totient is φ = 778732416000.

The previous prime is 3917997892993. The next prime is 3917997893041. The reversal of 3917997893040 is 403987997193.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (3917997893041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4183936 + ... + 5034015.

Almost surely, 2^{3917997893040} is an apocalyptic number.

3917997893040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3917997893040 is an abundant number, since it is smaller than the sum of its proper divisors (11883194194512).

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

3917997893040 is a wasteful number, since it uses less digits than its factorization.

3917997893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218008 (or 9218002 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 69.

The spelling of 3917997893040 in words is "three trillion, nine hundred seventeen billion, nine hundred ninety-seven million, eight hundred ninety-three thousand, forty".