3173043940416 has 567 divisors, whose sum is σ = 11083884723093. Its totient is φ = 865286231040.

The previous prime is 3173043940403. The next prime is 3173043940441. The reversal of 3173043940416 is 6140493403713.

The square root of 3173043940416 is 1781304.

It is a perfect power (a square), and thus also a powerful number.

3173043940416 is a `hidden beast` number, since 3 + 173 + 0 + 439 + 4 + 0 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1017080318016 + 2155963622400 = 1008504^2 + 1468320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6882958426 + ... + 6882958886.

Almost surely, 2^{3173043940416} is an apocalyptic number.

3173043940416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3173043940416 is the 1781304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3173043940416

3173043940416 is an abundant number, since it is smaller than the sum of its proper divisors (7910840782677).

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

3173043940416 is an equidigital number, since it uses as much as digits as its factorization.

3173043940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3173043940416 in words is "three trillion, one hundred seventy-three billion, forty-three million, nine hundred forty thousand, four hundred sixteen".