4719117312 has 528 divisors, whose sum is σ = 17811061632. Its totient is φ = 1167851520.

The previous prime is 4719117287. The next prime is 4719117353. The reversal of 4719117312 is 2137119174.

4719117312 is a `hidden beast` number, since 471 + 9 + 1 + 173 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14256987 + ... + 14257317.

Almost surely, 2^4719117312 is an apocalyptic number.

4719117312 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 4719117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905530816).

4719117312 is an abundant number, since it is smaller than the sum of its proper divisors (13091944320).

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

4719117312 is a wasteful number, since it uses less digits than its factorization.

4719117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 4719117312 is about 68695.8318386203. The cubic root of 4719117312 is about 1677.3367325922.

The spelling of 4719117312 in words is "four billion, seven hundred nineteen million, one hundred seventeen thousand, three hundred twelve".