4116638880 has 72 divisors (see below), whose sum is σ = 14048035092. Its totient is φ = 1097769984.

The previous prime is 4116638837. The next prime is 4116638899. The reversal of 4116638880 is 888366114.

It is a happy number.

4116638880 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 638 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4043433744 + 73205136 = 63588^2 + 8556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1427949 + ... + 1430828.

Almost surely, 2^4116638880 is an apocalyptic number.

4116638880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116638880 is an abundant number, since it is smaller than the sum of its proper divisors (9931396212).

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

4116638880 is a wasteful number, since it uses less digits than its factorization.

4116638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858798 (or 2858787 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4116638880 is about 64161.0386449596. The cubic root of 4116638880 is about 1602.6828530894.

The spelling of 4116638880 in words is "four billion, one hundred sixteen million, six hundred thirty-eight thousand, eight hundred eighty".