5040445440 has 192 divisors, whose sum is σ = 16473300480. Its totient is φ = 1315143680.

The previous prime is 5040445411. The next prime is 5040445441. The reversal of 5040445440 is 445440405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 5040445398 and 5040445407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040445441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1442095 + ... + 1445585.

It is an arithmetic number, because the mean of its divisors is an integer number (85798440).

Almost surely, 2^5040445440 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 5040445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236650240).

5040445440 is an abundant number, since it is smaller than the sum of its proper divisors (11432855040).

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

5040445440 is a wasteful number, since it uses less digits than its factorization.

5040445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 5040445440 is about 70996.0945404745. The cubic root of 5040445440 is about 1714.5742853894.

Adding to 5040445440 its reverse (445440405), we get a palindrome (5485885845).

The spelling of 5040445440 in words is "five billion, forty million, four hundred forty-five thousand, four hundred forty".