416172072996 has 81 divisors (see below), whose sum is σ = 1066258852113. Its totient is φ = 136867386240.

The previous prime is 416172072983. The next prime is 416172073021. The reversal of 416172072996 is 699270271614.

The square root of 416172072996 is 645114.

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

416172072996 is a `hidden beast` number, since 416 + 1 + 72 + 0 + 72 + 9 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70710255396 + 345461817600 = 265914^2 + 587760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305783356 + ... + 305784716.

Almost surely, 2^416172072996 is an apocalyptic number.

416172072996 is the 645114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416172072996

416172072996 is an abundant number, since it is smaller than the sum of its proper divisors (650086779117).

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

416172072996 is an equidigital number, since it uses as much as digits as its factorization.

416172072996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 416172072996 in words is "four hundred sixteen billion, one hundred seventy-two million, seventy-two thousand, nine hundred ninety-six".