4118446080 has 768 divisors, whose sum is σ = 17930376000. Its totient is φ = 891813888.

The previous prime is 4118446063. The next prime is 4118446103. The reversal of 4118446080 is 806448114.

4118446080 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 44 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4118446080² = 33923196227734732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216760311 + ... + 216760329.

Almost surely, 2^4118446080 is an apocalyptic number.

4118446080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4118446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965188000).

4118446080 is an abundant number, since it is smaller than the sum of its proper divisors (13811929920).

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

4118446080 is an equidigital number, since it uses as much as digits as its factorization.

4118446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4118446080 is about 64175.1204128204. The cubic root of 4118446080 is about 1602.9173441232.

The spelling of 4118446080 in words is "four billion, one hundred eighteen million, four hundred forty-six thousand, eighty".