5741584128 has 288 divisors, whose sum is σ = 19779379200. Its totient is φ = 1608781824.

The previous prime is 5741584099. The next prime is 5741584157. The reversal of 5741584128 is 8214851475.

5741584128 is a `hidden beast` number, since 5 + 7 + 41 + 584 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5741584099) and next prime (5741584157).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2563233 + ... + 2565471.

It is an arithmetic number, because the mean of its divisors is an integer number (68678400).

Almost surely, 2^5741584128 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 5741584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889689600).

5741584128 is an abundant number, since it is smaller than the sum of its proper divisors (14037795072).

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

5741584128 is a wasteful number, since it uses less digits than its factorization.

5741584128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2304 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 5741584128 is about 75773.2415038449. The cubic root of 5741584128 is about 1790.6494660619.

The spelling of 5741584128 in words is "five billion, seven hundred forty-one million, five hundred eighty-four thousand, one hundred twenty-eight".