201413441000 has 64 divisors (see below), whose sum is σ = 471382638480. Its totient is φ = 80552524800.

The previous prime is 201413440997. The next prime is 201413441017. The reversal of 201413441000 is 144314102.

It can be written as a sum of positive squares in 8 ways, for example, as 4439023876 + 196974417124 = 66626^2 + 443818^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8525204 + ... + 8548796.

Almost surely, 2^201413441000 is an apocalyptic number.

201413441000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201413441000 is an abundant number, since it is smaller than the sum of its proper divisors (269969197480).

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

201413441000 is a wasteful number, since it uses less digits than its factorization.

201413441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32151 (or 32137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201413441000 its reverse (144314102), we get a palindrome (201557755102).

The spelling of 201413441000 in words is "two hundred one billion, four hundred thirteen million, four hundred forty-one thousand".