5706301440 has 480 divisors, whose sum is σ = 21742608384. Its totient is φ = 1250426880.

The previous prime is 5706301427. The next prime is 5706301457. The reversal of 5706301440 is 441036075.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5706301440² = 65123752248292147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5706301398 and 5706301407.

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, 53329867 + ... + 53329973.

Almost surely, 2^5706301440 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 5706301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871304192).

5706301440 is an abundant number, since it is smaller than the sum of its proper divisors (16036306944).

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

5706301440 is a wasteful number, since it uses less digits than its factorization.

5706301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5706301440 is about 75540.0651310283. The cubic root of 5706301440 is about 1786.9740121253.

The spelling of 5706301440 in words is "five billion, seven hundred six million, three hundred one thousand, four hundred forty".