4040313200 has 240 divisors, whose sum is σ = 12175577856. Its totient is φ = 1251686400.

The previous prime is 4040313187. The next prime is 4040313227. The reversal of 4040313200 is 23130404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7176119 + ... + 7176681.

Almost surely, 2^4040313200 is an apocalyptic number.

4040313200 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 4040313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087788928).

4040313200 is an abundant number, since it is smaller than the sum of its proper divisors (8135264656).

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

4040313200 is a wasteful number, since it uses less digits than its factorization.

4040313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4040313200 is about 63563.4580557100. The cubic root of 4040313200 is about 1592.7160045355.

Adding to 4040313200 its reverse (23130404), we get a palindrome (4063443604).

The spelling of 4040313200 in words is "four billion, forty million, three hundred thirteen thousand, two hundred".