4117772080 has 40 divisors (see below), whose sum is σ = 9576507600. Its totient is φ = 1646646528.

The previous prime is 4117772077. The next prime is 4117772083. The reversal of 4117772080 is 802777114.

4117772080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4117772077) and next prime (4117772083).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4117772083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506286 + ... + 514354.

It is an arithmetic number, because the mean of its divisors is an integer number (239412690).

Almost surely, 2^4117772080 is an apocalyptic number.

4117772080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117772080 is an abundant number, since it is smaller than the sum of its proper divisors (5458735520).

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

4117772080 is a wasteful number, since it uses less digits than its factorization.

4117772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14461 (or 14455 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 37.

The square root of 4117772080 is about 64169.8689417393. The cubic root of 4117772080 is about 1602.8298980971.

The spelling of 4117772080 in words is "four billion, one hundred seventeen million, seven hundred seventy-two thousand, eighty".