4118349312 has 640 divisors, whose sum is σ = 15697566720. Its totient is φ = 1035141120.

The previous prime is 4118349283. The next prime is 4118349353. The reversal of 4118349312 is 2139438114.

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

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 56415708 + ... + 56415780.

It is an arithmetic number, because the mean of its divisors is an integer number (24527448).

Almost surely, 2^4118349312 is an apocalyptic number.

4118349312 is a gapful number since it is divisible by the number (42) 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 4118349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848783360).

4118349312 is an abundant number, since it is smaller than the sum of its proper divisors (11579217408).

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

4118349312 is a wasteful number, since it uses less digits than its factorization.

4118349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

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

The square root of 4118349312 is about 64174.3664713568. The cubic root of 4118349312 is about 1602.9047898477.

The spelling of 4118349312 in words is "four billion, one hundred eighteen million, three hundred forty-nine thousand, three hundred twelve".