39417101116416 has 297 divisors, whose sum is σ = 120936347912289. Its totient is φ = 12362934878208.

The previous prime is 39417101116387. The next prime is 39417101116427. The reversal of 39417101116416 is 61461110171493.

The square root of 39417101116416 is 6278304.

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

39417101116416 is a `hidden beast` number, since 3 + 9 + 4 + 17 + 101 + 116 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30688054502400 + 8729046614016 = 5539680^2 + 2954496^2 .

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, 10246190205 + ... + 10246194051.

Almost surely, 2^{39417101116416} is an apocalyptic number.

39417101116416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39417101116416 is the 6278304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39417101116416

39417101116416 is an abundant number, since it is smaller than the sum of its proper divisors (81519246795873).

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

39417101116416 is an frugal number, since it uses more digits than its factorization.

39417101116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7754 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 39417101116416 in words is "thirty-nine trillion, four hundred seventeen billion, one hundred one million, one hundred sixteen thousand, four hundred sixteen".