4481565840 has 480 divisors, whose sum is σ = 17021767680. Its totient is φ = 1079930880.

The previous prime is 4481565833. The next prime is 4481565841. The reversal of 4481565840 is 485651844.

It is a happy number.

4481565840 is a `hidden beast` number, since 4 + 4 + 8 + 1 + 565 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481565841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35287857 + ... + 35287983.

It is an arithmetic number, because the mean of its divisors is an integer number (35462016).

Almost surely, 2^4481565840 is an apocalyptic number.

4481565840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4481565840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510883840).

4481565840 is an abundant number, since it is smaller than the sum of its proper divisors (12540201840).

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

4481565840 is a wasteful number, since it uses less digits than its factorization.

4481565840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 4481565840 is about 66944.4982056031. The cubic root of 4481565840 is about 1648.7061592590.

The spelling of 4481565840 in words is "four billion, four hundred eighty-one million, five hundred sixty-five thousand, eight hundred forty".