4009216000 has 96 divisors (see below), whose sum is σ = 10005198840. Its totient is φ = 1603584000.

The previous prime is 4009215989. The next prime is 4009216009. The reversal of 4009216000 is 6129004.

4009216000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2527273984 + 1481942016 = 50272^2 + 38496^2 .

It is a super-3 number, since 3×4009216000³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4009216009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248170 + ... + 263830.

Almost surely, 2^4009216000 is an apocalyptic number.

4009216000 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 4009216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002599420).

4009216000 is an abundant number, since it is smaller than the sum of its proper divisors (5995982840).

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

4009216000 is an equidigital number, since it uses as much as digits as its factorization.

4009216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15698 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4009216000 is about 63318.3701622207. The cubic root of 4009216000 is about 1588.6192408855.

The spelling of 4009216000 in words is "four billion, nine million, two hundred sixteen thousand".