5874301440 has 960 divisors, whose sum is σ = 25738352640. Its totient is φ = 1254113280.

The previous prime is 5874301427. The next prime is 5874301463. The reversal of 5874301440 is 441034785.

5874301440 is a `hidden beast` number, since 5 + 87 + 430 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 5874301395 and 5874301404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82736605 + ... + 82736675.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^5874301440 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 5874301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

5874301440 is an abundant number, since it is smaller than the sum of its proper divisors (19864051200).

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

5874301440 is an equidigital number, since it uses as much as digits as its factorization.

5874301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5874301440 is about 76643.9915453260. The cubic root of 5874301440 is about 1804.3415200276.

The spelling of 5874301440 in words is "five billion, eight hundred seventy-four million, three hundred one thousand, four hundred forty".