201371418 has 72 divisors (see below), whose sum is σ = 467173980. Its totient is φ = 62576640.

The previous prime is 201371411. The next prime is 201371441. The reversal of 201371418 is 814173102.

It can be written as a sum of positive squares in 6 ways, for example, as 40411449 + 160959969 = 6357^2 + 12687^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201371391 and 201371400.

It is not an unprimeable number, because it can be changed into a prime (201371411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2075946 + ... + 2076042.

Almost surely, 2^201371418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201371418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233586990).

201371418 is an abundant number, since it is smaller than the sum of its proper divisors (265802562).

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

201371418 is a wasteful number, since it uses less digits than its factorization.

201371418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 201371418 is about 14190.5397360354. The cubic root of 201371418 is about 586.1371874950.

The spelling of 201371418 in words is "two hundred one million, three hundred seventy-one thousand, four hundred eighteen".