201214440 has 96 divisors (see below), whose sum is σ = 747377280. Its totient is φ = 45991296.

The previous prime is 201214423. The next prime is 201214451. The reversal of 201214440 is 44412102.

201214440 is a `hidden beast` number, since 201 + 21 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 37404 + ... + 42443.

It is an arithmetic number, because the mean of its divisors is an integer number (7785180).

Almost surely, 2^201214440 is an apocalyptic number.

201214440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201214440 is an abundant number, since it is smaller than the sum of its proper divisors (546162840).

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

201214440 is a wasteful number, since it uses less digits than its factorization.

201214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79871 (or 79864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 201214440 is about 14185.0075784259. The cubic root of 201214440 is about 585.9848412096.

Adding to 201214440 its reverse (44412102), we get a palindrome (245626542).

The spelling of 201214440 in words is "two hundred one million, two hundred fourteen thousand, four hundred forty".