4118737140 has 384 divisors, whose sum is σ = 15372672000. Its totient is φ = 914457600.

The previous prime is 4118737081. The next prime is 4118737153. The reversal of 4118737140 is 417378114.

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 = 4118737095 and 4118737104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6852840 + ... + 6853440.

It is an arithmetic number, because the mean of its divisors is an integer number (40033000).

Almost surely, 2^4118737140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4118737140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686336000).

4118737140 is an abundant number, since it is smaller than the sum of its proper divisors (11253934860).

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

4118737140 is a wasteful number, since it uses less digits than its factorization.

4118737140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 4118737140 is about 64177.3880739938. The cubic root of 4118737140 is about 1602.9551038448.

The spelling of 4118737140 in words is "four billion, one hundred eighteen million, seven hundred thirty-seven thousand, one hundred forty".