4008047360 has 144 divisors (see below), whose sum is σ = 9814633920. Its totient is φ = 1567948800.

The previous prime is 4008047353. The next prime is 4008047363. The reversal of 4008047360 is 637408004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4008047363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17201804 + ... + 17202036.

It is an arithmetic number, because the mean of its divisors is an integer number (68157180).

Almost surely, 2^4008047360 is an apocalyptic number.

4008047360 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 4008047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907316960).

4008047360 is an abundant number, since it is smaller than the sum of its proper divisors (5806586560).

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

4008047360 is a wasteful number, since it uses less digits than its factorization.

4008047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4008047360 is about 63309.1412040947. The cubic root of 4008047360 is about 1588.4648711863.

The spelling of 4008047360 in words is "four billion, eight million, forty-seven thousand, three hundred sixty".