5745760440 has 128 divisors (see below), whose sum is σ = 19787189760. Its totient is φ = 1307487744.

The previous prime is 5745760439. The next prime is 5745760507. The reversal of 5745760440 is 440675475.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5745760392 and 5745760401.

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, 175614 + ... + 205746.

It is an arithmetic number, because the mean of its divisors is an integer number (154587420).

Almost surely, 2^5745760440 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 5745760440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893594880).

5745760440 is an abundant number, since it is smaller than the sum of its proper divisors (14041429320).

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

5745760440 is a wasteful number, since it uses less digits than its factorization.

5745760440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381 (or 30377 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 5745760440 is about 75800.7944549396. The cubic root of 5745760440 is about 1791.0835215553.

The spelling of 5745760440 in words is "five billion, seven hundred forty-five million, seven hundred sixty thousand, four hundred forty".