4116655872 has 360 divisors, whose sum is σ = 14245862400. Its totient is φ = 1158064128.

The previous prime is 4116655867. The next prime is 4116655889. The reversal of 4116655872 is 2785566114.

4116655872 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 65 + 587 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (403200) is a multiple of the sum of its prime divisors (450).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11466829 + ... + 11467187.

It is an arithmetic number, because the mean of its divisors is an integer number (39571840).

Almost surely, 2^4116655872 is an apocalyptic number.

4116655872 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 4116655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122931200).

4116655872 is an abundant number, since it is smaller than the sum of its proper divisors (10129206528).

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

4116655872 is an equidigital number, since it uses as much as digits as its factorization.

4116655872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 4116655872 is about 64161.1710616320. The cubic root of 4116655872 is about 1602.6850581852.

The spelling of 4116655872 in words is "four billion, one hundred sixteen million, six hundred fifty-five thousand, eight hundred seventy-two".