5006117440 has 84 divisors (see below), whose sum is σ = 12462069564. Its totient is φ = 1915319296.

The previous prime is 5006117437. The next prime is 5006117443. The reversal of 5006117440 is 447116005.

It is an interprime number because it is at equal distance from previous prime (5006117437) and next prime (5006117443).

It can be written as a sum of positive squares in 2 ways, for example, as 1183910464 + 3822206976 = 34408^2 + 61824^2 .

It is a super-2 number, since 2×5006117440² = 50122423646144307200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5006117399 and 5006117408.

It is not an unprimeable number, because it can be changed into a prime (5006117443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154494 + ... + 184066.

It is an arithmetic number, because the mean of its divisors is an integer number (148357971).

Almost surely, 2^5006117440 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 5006117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231034782).

5006117440 is an abundant number, since it is smaller than the sum of its proper divisors (7455952124).

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

5006117440 is a wasteful number, since it uses less digits than its factorization.

5006117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29636 (or 29603 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 5006117440 is about 70753.9217287636. The cubic root of 5006117440 is about 1710.6730408089.

The spelling of 5006117440 in words is "five billion, six million, one hundred seventeen thousand, four hundred forty".