5746093440 has 256 divisors, whose sum is σ = 19000396800. Its totient is φ = 1476034560.

The previous prime is 5746093417. The next prime is 5746093459. The reversal of 5746093440 is 443906475.

It is a super-2 number, since 2×5746093440² = 66035179642422067200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5746093392 and 5746093401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6521800 + ... + 6522680.

It is an arithmetic number, because the mean of its divisors is an integer number (74220300).

Almost surely, 2^5746093440 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 5746093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500198400).

5746093440 is an abundant number, since it is smaller than the sum of its proper divisors (13254303360).

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

5746093440 is a wasteful number, since it uses less digits than its factorization.

5746093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5746093440 is about 75802.9909700138. The cubic root of 5746093440 is about 1791.1181220982.

The spelling of 5746093440 in words is "five billion, seven hundred forty-six million, ninety-three thousand, four hundred forty".