4118382240 has 384 divisors, whose sum is σ = 16117678080. Its totient is φ = 862617600.

The previous prime is 4118382181. The next prime is 4118382241. The reversal of 4118382240 is 422838114.

4118382240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4118382240² = 33922144549494835200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4118382241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978000 + ... + 1980080.

It is an arithmetic number, because the mean of its divisors is an integer number (41973120).

Almost surely, 2^4118382240 is an apocalyptic number.

4118382240 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 4118382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058839040).

4118382240 is an abundant number, since it is smaller than the sum of its proper divisors (11999295840).

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

4118382240 is a wasteful number, since it uses less digits than its factorization.

4118382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4118382240 is about 64174.6230218768. The cubic root of 4118382240 is about 1602.9090618108.

The spelling of 4118382240 in words is "four billion, one hundred eighteen million, three hundred eighty-two thousand, two hundred forty".