5081409144 has 96 divisors (see below), whose sum is σ = 16235581440. Its totient is φ = 1404993600.

The previous prime is 5081409127. The next prime is 5081409149. The reversal of 5081409144 is 4419041805.

5081409144 is a `hidden beast` number, since 508 + 1 + 4 + 0 + 9 + 144 = 666.

It is a super-4 number, since 4×5081409144⁴ (a number of 40 digits) contains 4444 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 = 5081409099 and 5081409108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5081409149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146992 + ... + 178239.

It is an arithmetic number, because the mean of its divisors is an integer number (169120640).

Almost surely, 2^5081409144 is an apocalyptic number.

It is an amenable number.

5081409144 is an abundant number, since it is smaller than the sum of its proper divisors (11154172296).

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

5081409144 is a wasteful number, since it uses less digits than its factorization.

5081409144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325281 (or 325274 counting only the distinct ones).

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

The square root of 5081409144 is about 71284.0034229279. The cubic root of 5081409144 is about 1719.2065413607.

The spelling of 5081409144 in words is "five billion, eighty-one million, four hundred nine thousand, one hundred forty-four".