4014284200 has 48 divisors (see below), whose sum is σ = 9381659580. Its totient is φ = 1597378560.

The previous prime is 4014284191. The next prime is 4014284201. The reversal of 4014284200 is 24824104.

It can be written as a sum of positive squares in 6 ways, for example, as 669049956 + 3345234244 = 25866^2 + 57838^2 .

It is a super-2 number, since 2×4014284200² = 32228955276739280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4014284201) by changing a digit.

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, 13399 + ... + 90598.

Almost surely, 2^4014284200 is an apocalyptic number.

4014284200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014284200 is an abundant number, since it is smaller than the sum of its proper divisors (5367375380).

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

4014284200 is a wasteful number, since it uses less digits than its factorization.

4014284200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104206 (or 104197 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 4014284200 is about 63358.3790828017. The cubic root of 4014284200 is about 1589.2883700210.

The spelling of 4014284200 in words is "four billion, fourteen million, two hundred eighty-four thousand, two hundred".