4412414116 has 48 divisors (see below), whose sum is σ = 8875496448. Its totient is φ = 1899770400.

The previous prime is 4412414087. The next prime is 4412414131. The reversal of 4412414116 is 6114142144.

It is a super-2 number, since 2×4412414116² = 38938796662152122912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83071 + ... + 125401.

It is an arithmetic number, because the mean of its divisors is an integer number (184906176).

It is a self-describing number.

Almost surely, 2^4412414116 is an apocalyptic number.

4412414116 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4412414116 is an abundant number, since it is smaller than the sum of its proper divisors (4463082332).

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

4412414116 is a wasteful number, since it uses less digits than its factorization.

4412414116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42472 (or 42470 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 4412414116 is about 66426.0048173906. The cubic root of 4412414116 is about 1640.1821773629.

The spelling of 4412414116 in words is "four billion, four hundred twelve million, four hundred fourteen thousand, one hundred sixteen".