4045141200 has 60 divisors (see below), whose sum is σ = 12957939488. Its totient is φ = 1078704000.

The previous prime is 4045141157. The next prime is 4045141213. The reversal of 4045141200 is 21415404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1684276 + ... + 1686675.

Almost surely, 2^4045141200 is an apocalyptic number.

4045141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4045141200 is an abundant number, since it is smaller than the sum of its proper divisors (8912798288).

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

4045141200 is a wasteful number, since it uses less digits than its factorization.

4045141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370972 (or 3370961 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4045141200 is about 63601.4245123488. The cubic root of 4045141200 is about 1593.3501609811.

Adding to 4045141200 its reverse (21415404), we get a palindrome (4066556604).

The spelling of 4045141200 in words is "four billion, forty-five million, one hundred forty-one thousand, two hundred".