4416117871104 has 320 divisors, whose sum is σ = 13181047608960. Its totient is φ = 1459814400000.

The previous prime is 4416117870971. The next prime is 4416117871111. The reversal of 4416117871104 is 4011787116144.

4416117871104 is a `hidden beast` number, since 4 + 416 + 117 + 8 + 7 + 110 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4416117871104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836224944 + ... + 836230224.

It is an arithmetic number, because the mean of its divisors is an integer number (41190773778).

Almost surely, 2^{4416117871104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416117871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590523804480).

4416117871104 is an abundant number, since it is smaller than the sum of its proper divisors (8764929737856).

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

4416117871104 is a wasteful number, since it uses less digits than its factorization.

4416117871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 4416117871104 in words is "four trillion, four hundred sixteen billion, one hundred seventeen million, eight hundred seventy-one thousand, one hundred four".