3910516496640 has 1008 divisors, whose sum is σ = 15613622169600. Its totient is φ = 931447848960.

The previous prime is 3910516496633. The next prime is 3910516496659. The reversal of 3910516496640 is 466946150193.

It is a happy number.

3910516496640 is a `hidden beast` number, since 3 + 9 + 105 + 1 + 6 + 496 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 376042161 + ... + 376052559.

Almost surely, 2^{3910516496640} is an apocalyptic number.

3910516496640 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 3910516496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806811084800).

3910516496640 is an abundant number, since it is smaller than the sum of its proper divisors (11703105672960).

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

3910516496640 is a wasteful number, since it uses less digits than its factorization.

3910516496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3910516496640 in words is "three trillion, nine hundred ten billion, five hundred sixteen million, four hundred ninety-six thousand, six hundred forty".