4116983040 has 108 divisors (see below), whose sum is σ = 14244372324. Its totient is φ = 1097859072.

The previous prime is 4116983029. The next prime is 4116983051. The reversal of 4116983040 is 403896114.

It is an interprime number because it is at equal distance from previous prime (4116983029) and next prime (4116983051).

It can be written as a sum of positive squares in 2 ways, for example, as 493906176 + 3623076864 = 22224^2 + 60192^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4116982986 and 4116983004.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 167169 + ... + 190208.

Almost surely, 2^4116983040 is an apocalyptic number.

4116983040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116983040 is an abundant number, since it is smaller than the sum of its proper divisors (10127389284).

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

4116983040 is a wasteful number, since it uses less digits than its factorization.

4116983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357404 (or 357387 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4116983040 is about 64163.7205903772. The cubic root of 4116983040 is about 1602.7275144402.

The spelling of 4116983040 in words is "four billion, one hundred sixteen million, nine hundred eighty-three thousand, forty".