4040727200 has 144 divisors (see below), whose sum is σ = 10202534496. Its totient is φ = 1561728000.

The previous prime is 4040727149. The next prime is 4040727203. The reversal of 4040727200 is 27270404.

It is a self number, because there is not a number n which added to its sum of digits gives 4040727200.

It is not an unprimeable number, because it can be changed into a prime (4040727203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3473819 + ... + 3474981.

It is an arithmetic number, because the mean of its divisors is an integer number (70850934).

Almost surely, 2^4040727200 is an apocalyptic number.

4040727200 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 4040727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101267248).

4040727200 is an abundant number, since it is smaller than the sum of its proper divisors (6161807296).

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

4040727200 is a wasteful number, since it uses less digits than its factorization.

4040727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 4040727200 is about 63566.7145603735. The cubic root of 4040727200 is about 1592.7704031157.

Adding to 4040727200 its reverse (27270404), we get a palindrome (4067997604).

The spelling of 4040727200 in words is "four billion, forty million, seven hundred twenty-seven thousand, two hundred".