5749159933440 has 1440 divisors, whose sum is σ = 25376004894240. Its totient is φ = 1189498060800.

The previous prime is 5749159933417. The next prime is 5749159933483. The reversal of 5749159933440 is 443399519475.

It is a happy number.

5749159933440 is a `hidden beast` number, since 5 + 7 + 4 + 9 + 1 + 599 + 3 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 3340591780 + ... + 3340593500.

It is an arithmetic number, because the mean of its divisors is an integer number (17622225621).

Almost surely, 2^{5749159933440} 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 5749159933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688002447120).

5749159933440 is an abundant number, since it is smaller than the sum of its proper divisors (19626844960800).

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

5749159933440 is a wasteful number, since it uses less digits than its factorization.

5749159933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 5749159933440 in words is "five trillion, seven hundred forty-nine billion, one hundred fifty-nine million, nine hundred thirty-three thousand, four hundred forty".