4574401824 has 96 divisors (see below), whose sum is σ = 12143609856. Its totient is φ = 1507645440.

The previous prime is 4574401813. The next prime is 4574401873. The reversal of 4574401824 is 4281044754.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 5571334 + ... + 5572154.

It is an arithmetic number, because the mean of its divisors is an integer number (126495936).

Almost surely, 2^4574401824 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 4574401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071804928).

4574401824 is an abundant number, since it is smaller than the sum of its proper divisors (7569208032).

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

4574401824 is a wasteful number, since it uses less digits than its factorization.

4574401824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 39.

The square root of 4574401824 is about 67634.3243035665. The cubic root of 4574401824 is about 1660.0128009851.

The spelling of 4574401824 in words is "four billion, five hundred seventy-four million, four hundred one thousand, eight hundred twenty-four".