5640461442 has 288 divisors, whose sum is σ = 16356412800. Its totient is φ = 1392431040.

The previous prime is 5640461413. The next prime is 5640461443. The reversal of 5640461442 is 2441640465.

5640461442 is a `hidden beast` number, since 5 + 640 + 4 + 6 + 1 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5640461397 and 5640461406.

It is not an unprimeable number, because it can be changed into a prime (5640461443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35926428 + ... + 35926584.

It is an arithmetic number, because the mean of its divisors is an integer number (56793100).

Almost surely, 2^5640461442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640461442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178206400).

5640461442 is an abundant number, since it is smaller than the sum of its proper divisors (10715951358).

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

5640461442 is a wasteful number, since it uses less digits than its factorization.

5640461442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5640461442 is about 75103.0055457170. The cubic root of 5640461442 is about 1780.0746341218.

The spelling of 5640461442 in words is "five billion, six hundred forty million, four hundred sixty-one thousand, four hundred forty-two".