5418109440 has 800 divisors, whose sum is σ = 21657073680. Its totient is φ = 1288175616.

The previous prime is 5418109439. The next prime is 5418109453. The reversal of 5418109440 is 449018145.

5418109440 is a `hidden beast` number, since 541 + 8 + 109 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3780774144 + 1637335296 = 61488^2 + 40464^2 .

It is a super-2 number, since 2×5418109440² = 58711819807634227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5418109395 and 5418109404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102228454 + ... + 102228506.

Almost surely, 2^5418109440 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 5418109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828536840).

5418109440 is an abundant number, since it is smaller than the sum of its proper divisors (16238964240).

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

5418109440 is a wasteful number, since it uses less digits than its factorization.

5418109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5418109440 is about 73607.8082814588. The cubic root of 5418109440 is about 1756.3696518236.

The spelling of 5418109440 in words is "five billion, four hundred eighteen million, one hundred nine thousand, four hundred forty".