4517916140 has 48 divisors (see below), whose sum is σ = 10028615520. Its totient is φ = 1704913920.

The previous prime is 4517916113. The next prime is 4517916163. The reversal of 4517916140 is 416197154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 4517916094 and 4517916103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66914 + ... + 116246.

It is an arithmetic number, because the mean of its divisors is an integer number (208929490).

Almost surely, 2^4517916140 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 4517916140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014307760).

4517916140 is an abundant number, since it is smaller than the sum of its proper divisors (5510699380).

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

4517916140 is a wasteful number, since it uses less digits than its factorization.

4517916140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49602 (or 49600 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 4517916140 is about 67215.4456951674. The cubic root of 4517916140 is about 1653.1517523910.

The spelling of 4517916140 in words is "four billion, five hundred seventeen million, nine hundred sixteen thousand, one hundred forty".