5844007440 has 400 divisors, whose sum is σ = 21428592768. Its totient is φ = 1473196032.

The previous prime is 5844007409. The next prime is 5844007453. The reversal of 5844007440 is 447004485.

5844007440 is a `hidden beast` number, since 584 + 4 + 0 + 0 + 74 + 4 + 0 = 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 = 5844007395 and 5844007404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16841347 + ... + 16841693.

Almost surely, 2^5844007440 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 5844007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714296384).

5844007440 is an abundant number, since it is smaller than the sum of its proper divisors (15584585328).

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

5844007440 is a wasteful number, since it uses less digits than its factorization.

5844007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 5844007440 is about 76446.1080762127. The cubic root of 5844007440 is about 1801.2344864971.

The spelling of 5844007440 in words is "five billion, eight hundred forty-four million, seven thousand, four hundred forty".