5281381440 has 336 divisors, whose sum is σ = 19664281728. Its totient is φ = 1346678784.

The previous prime is 5281381439. The next prime is 5281381447. The reversal of 5281381440 is 441831825.

5281381440 is a `hidden beast` number, since 528 + 13 + 81 + 4 + 40 = 666.

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 = 5281381395 and 5281381404.

It is not an unprimeable number, because it can be changed into a prime (5281381447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787004 + ... + 1789956.

It is an arithmetic number, because the mean of its divisors is an integer number (58524648).

Almost surely, 2^5281381440 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 5281381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832140864).

5281381440 is an abundant number, since it is smaller than the sum of its proper divisors (14382900288).

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

5281381440 is a wasteful number, since it uses less digits than its factorization.

5281381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5281381440 is about 72673.1135978086. The cubic root of 5281381440 is about 1741.4693889885.

The spelling of 5281381440 in words is "five billion, two hundred eighty-one million, three hundred eighty-one thousand, four hundred forty".