4116458874 has 64 divisors (see below), whose sum is σ = 9180905472. Its totient is φ = 1219982400.

The previous prime is 4116458869. The next prime is 4116458891. The reversal of 4116458874 is 4788546114.

It is a super-2 number, since 2×4116458874² = 33890467322666695752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 31 ways as a sum of consecutive naturals, for example, 591664 + ... + 598580.

It is an arithmetic number, because the mean of its divisors is an integer number (143451648).

Almost surely, 2^4116458874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116458874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590452736).

4116458874 is an abundant number, since it is smaller than the sum of its proper divisors (5064446598).

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

4116458874 is a wasteful number, since it uses less digits than its factorization.

4116458874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131.

The product of its digits is 860160, while the sum is 48.

The square root of 4116458874 is about 64159.6358624330. The cubic root of 4116458874 is about 1602.6594928722.

The spelling of 4116458874 in words is "four billion, one hundred sixteen million, four hundred fifty-eight thousand, eight hundred seventy-four".