5742781440 has 352 divisors, whose sum is σ = 20551224960. Its totient is φ = 1356595200.

The previous prime is 5742781439. The next prime is 5742781453. The reversal of 5742781440 is 441872475.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 5742781392 and 5742781401.

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 31 ways as a sum of consecutive naturals, for example, 6926946 + ... + 6927774.

Almost surely, 2^5742781440 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 5742781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275612480).

5742781440 is an abundant number, since it is smaller than the sum of its proper divisors (14808443520).

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

5742781440 is a wasteful number, since it uses less digits than its factorization.

5742781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The square root of 5742781440 is about 75781.1417174484. The cubic root of 5742781440 is about 1790.7739274785.

The spelling of 5742781440 in words is "five billion, seven hundred forty-two million, seven hundred eighty-one thousand, four hundred forty".