3945110992416 has 72 divisors (see below), whose sum is σ = 12238810247664. Its totient is φ = 1195488178560.

The previous prime is 3945110992393. The next prime is 3945110992423. The reversal of 3945110992416 is 6142990115493.

3945110992416 is a `hidden beast` number, since 3 + 9 + 4 + 511 + 0 + 99 + 24 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 622646926 + ... + 622653261.

It is an arithmetic number, because the mean of its divisors is an integer number (169983475662).

Almost surely, 2^{3945110992416} is an apocalyptic number.

3945110992416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3945110992416 is an abundant number, since it is smaller than the sum of its proper divisors (8293699255248).

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

3945110992416 is a wasteful number, since it uses less digits than its factorization.

3945110992416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245300214 (or 1245300203 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 3945110992416 in words is "three trillion, nine hundred forty-five billion, one hundred ten million, nine hundred ninety-two thousand, four hundred sixteen".