4118674320 has 240 divisors, whose sum is σ = 14800771440. Its totient is φ = 1022754816.

The previous prime is 4118674319. The next prime is 4118674321. The reversal of 4118674320 is 234768114.

4118674320 is a `hidden beast` number, since 41 + 186 + 7 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4118674319) and next prime (4118674321).

It can be written as a sum of positive squares in 8 ways, for example, as 266734224 + 3851940096 = 16332^2 + 62064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (4118674321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185546 + ... + 1189014.

It is an arithmetic number, because the mean of its divisors is an integer number (61669881).

Almost surely, 2^4118674320 is an apocalyptic number.

4118674320 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 4118674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400385720).

4118674320 is an abundant number, since it is smaller than the sum of its proper divisors (10682097120).

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

4118674320 is a wasteful number, since it uses less digits than its factorization.

4118674320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4118674320 is about 64176.8986474105. The cubic root of 4118674320 is about 1602.9469542472.

The spelling of 4118674320 in words is "four billion, one hundred eighteen million, six hundred seventy-four thousand, three hundred twenty".