4118069760 has 480 divisors, whose sum is σ = 15853128192. Its totient is φ = 908328960.

The previous prime is 4118069759. The next prime is 4118069777. The reversal of 4118069760 is 679608114.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11665744 + ... + 11666096.

Almost surely, 2^4118069760 is an apocalyptic number.

4118069760 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 4118069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926564096).

4118069760 is an abundant number, since it is smaller than the sum of its proper divisors (11735058432).

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

4118069760 is a wasteful number, since it uses less digits than its factorization.

4118069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4118069760 is about 64172.1883684825. The cubic root of 4118069760 is about 1602.8685208359.

The spelling of 4118069760 in words is "four billion, one hundred eighteen million, sixty-nine thousand, seven hundred sixty".