5314441440 has 384 divisors, whose sum is σ = 21272896512. Its totient is φ = 1083064320.

The previous prime is 5314441427. The next prime is 5314441453. The reversal of 5314441440 is 441444135.

It is an interprime number because it is at equal distance from previous prime (5314441427) and next prime (5314441453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5314441398 and 5314441407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1957524 + ... + 1960236.

It is an arithmetic number, because the mean of its divisors is an integer number (55398168).

Almost surely, 2^5314441440 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 5314441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636448256).

5314441440 is an abundant number, since it is smaller than the sum of its proper divisors (15958455072).

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

5314441440 is a wasteful number, since it uses less digits than its factorization.

5314441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 5314441440 is about 72900.2156375412. The cubic root of 5314441440 is about 1745.0955402352.

Adding to 5314441440 its reverse (441444135), we get a palindrome (5755885575).

The spelling of 5314441440 in words is "five billion, three hundred fourteen million, four hundred forty-one thousand, four hundred forty".