4447008540 has 360 divisors, whose sum is σ = 15549700320. Its totient is φ = 1062637056.

The previous prime is 4447008499. The next prime is 4447008551. The reversal of 4447008540 is 458007444.

4447008540 is a `hidden beast` number, since 4 + 44 + 70 + 0 + 8 + 540 = 666.

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 = 4447008495 and 4447008504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10129641 + ... + 10130079.

It is an arithmetic number, because the mean of its divisors is an integer number (43193612).

Almost surely, 2^4447008540 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 4447008540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774850160).

4447008540 is an abundant number, since it is smaller than the sum of its proper divisors (11102691780).

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

4447008540 is a wasteful number, since it uses less digits than its factorization.

4447008540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4447008540 is about 66685.8946104797. The cubic root of 4447008540 is about 1644.4575022737.

The spelling of 4447008540 in words is "four billion, four hundred forty-seven million, eight thousand, five hundred forty".