4117855968 has 120 divisors (see below), whose sum is σ = 12637226448. Its totient is φ = 1312920576.

The previous prime is 4117855967. The next prime is 4117855969. The reversal of 4117855968 is 8695587114.

It is a happy number.

4117855968 is a `hidden beast` number, since 4 + 11 + 78 + 559 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4117855967) and next prime (4117855969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117855967) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 25080 + ... + 94152.

Almost surely, 2^4117855968 is an apocalyptic number.

4117855968 is a gapful number since it is divisible by the number (48) 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 4117855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318613224).

4117855968 is an abundant number, since it is smaller than the sum of its proper divisors (8519370480).

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

4117855968 is a wasteful number, since it uses less digits than its factorization.

4117855968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69118 (or 69101 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The square root of 4117855968 is about 64170.5225785173. The cubic root of 4117855968 is about 1602.8407824037.

The spelling of 4117855968 in words is "four billion, one hundred seventeen million, eight hundred fifty-five thousand, nine hundred sixty-eight".