5814257040 has 240 divisors, whose sum is σ = 21157538688. Its totient is φ = 1425199104.

The previous prime is 5814257021. The next prime is 5814257041. The reversal of 5814257040 is 407524185.

5814257040 is a `hidden beast` number, since 5 + 8 + 1 + 42 + 570 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5814256986 and 5814257004.

It is not an unprimeable number, because it can be changed into a prime (5814257041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520797 + ... + 531843.

Almost surely, 2^5814257040 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 5814257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578769344).

5814257040 is an abundant number, since it is smaller than the sum of its proper divisors (15343281648).

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

5814257040 is a wasteful number, since it uses less digits than its factorization.

5814257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11126 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5814257040 is about 76251.2756614602. The cubic root of 5814257040 is about 1798.1727382839.

The spelling of 5814257040 in words is "five billion, eight hundred fourteen million, two hundred fifty-seven thousand, forty".