4011200 has 84 divisors (see below), whose sum is σ = 10393680. Its totient is φ = 1520640.

The previous prime is 4011197. The next prime is 4011209. The reversal of 4011200 is 21104.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (4011209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36746 + ... + 36854.

Almost surely, 2^4011200 is an apocalyptic number.

4011200 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 4011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196840).

4011200 is an abundant number, since it is smaller than the sum of its proper divisors (6382480).

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

4011200 is a wasteful number, since it uses less digits than its factorization.

4011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4011200 is about 2002.7980427392. The cubic root of 4011200 is about 158.8881245628. Note that the first 3 decimals are identical.

Adding to 4011200 its reverse (21104), we get a palindrome (4032304).

The spelling of 4011200 in words is "four million, eleven thousand, two hundred".