5641313040 has 960 divisors, whose sum is σ = 23710482432. Its totient is φ = 1231718400.

The previous prime is 5641313033. The next prime is 5641313059. The reversal of 5641313040 is 403131465.

5641313040 is a `hidden beast` number, since 5 + 641 + 3 + 13 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5641312995 and 5641313013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152467902 + ... + 152467938.

Almost surely, 2^5641313040 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 5641313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855241216).

5641313040 is an abundant number, since it is smaller than the sum of its proper divisors (18069169392).

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

5641313040 is a wasteful number, since it uses less digits than its factorization.

5641313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5641313040 is about 75108.6748651579. The cubic root of 5641313040 is about 1780.1642149554.

The spelling of 5641313040 in words is "five billion, six hundred forty-one million, three hundred thirteen thousand, forty".