5014081440 has 288 divisors, whose sum is σ = 18360276480. Its totient is φ = 1290691584.

The previous prime is 5014081427. The next prime is 5014081447. The reversal of 5014081440 is 441804105.

It is a happy number.

5014081440 is a `hidden beast` number, since 5 + 0 + 140 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5014081447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125297 + ... + 1129743.

It is an arithmetic number, because the mean of its divisors is an integer number (63750960).

Almost surely, 2^5014081440 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 5014081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180138240).

5014081440 is an abundant number, since it is smaller than the sum of its proper divisors (13346195040).

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

5014081440 is a wasteful number, since it uses less digits than its factorization.

5014081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5014081440 is about 70810.1789293037. The cubic root of 5014081440 is about 1711.5797036501.

Adding to 5014081440 its reverse (441804105), we get a palindrome (5455885545).

The spelling of 5014081440 in words is "five billion, fourteen million, eighty-one thousand, four hundred forty".