4116625344 has 336 divisors, whose sum is σ = 13669804512. Its totient is φ = 1173159936.

The previous prime is 4116625333. The next prime is 4116625363. The reversal of 4116625344 is 4435266114.

4116625344 is a `hidden beast` number, since 4 + 116 + 6 + 2 + 534 + 4 = 666.

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 = 4116625299 and 4116625308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9292387 + ... + 9292829.

It is an arithmetic number, because the mean of its divisors is an integer number (40683942).

Almost surely, 2^4116625344 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 4116625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834902256).

4116625344 is an abundant number, since it is smaller than the sum of its proper divisors (9553179168).

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

4116625344 is a wasteful number, since it uses less digits than its factorization.

4116625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4116625344 is about 64160.9331602962. The cubic root of 4116625344 is about 1602.6810964833.

The spelling of 4116625344 in words is "four billion, one hundred sixteen million, six hundred twenty-five thousand, three hundred forty-four".