4040322000 has 640 divisors, whose sum is σ = 16261959168. Its totient is φ = 847872000.

The previous prime is 4040321941. The next prime is 4040322037. The reversal of 4040322000 is 2230404.

It is a happy number.

4040322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14585862 + ... + 14586138.

Almost surely, 2^4040322000 is an apocalyptic number.

4040322000 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 4040322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130979584).

4040322000 is an abundant number, since it is smaller than the sum of its proper divisors (12221637168).

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

4040322000 is a wasteful number, since it uses less digits than its factorization.

4040322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4040322000 is about 63563.5272778344. The cubic root of 4040322000 is about 1592.7171608724.

Adding to 4040322000 its reverse (2230404), we get a palindrome (4042552404).

The spelling of 4040322000 in words is "four billion, forty million, three hundred twenty-two thousand".