4014141200 has 120 divisors (see below), whose sum is σ = 9834120576. Its totient is φ = 1574272000.

The previous prime is 4014141199. The next prime is 4014141221. The reversal of 4014141200 is 21414104.

It is a super-2 number, since 2×4014141200² = 32226659147074880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7980149 + ... + 7980651.

Almost surely, 2^4014141200 is an apocalyptic number.

4014141200 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 4014141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917060288).

4014141200 is an abundant number, since it is smaller than the sum of its proper divisors (5819979376).

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

4014141200 is a wasteful number, since it uses less digits than its factorization.

4014141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4014141200 is about 63357.2505716591. The cubic root of 4014141200 is about 1589.2694981687.

Adding to 4014141200 its reverse (21414104), we get a palindrome (4035555304).

The spelling of 4014141200 in words is "four billion, fourteen million, one hundred forty-one thousand, two hundred".