201918416 has 120 divisors (see below), whose sum is σ = 480906720. Its totient is φ = 81774336.

The previous prime is 201918397. The next prime is 201918421. The reversal of 201918416 is 614819102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887035 + ... + 1887141.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2^201918416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201918416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240453360).

201918416 is an abundant number, since it is smaller than the sum of its proper divisors (278988304).

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

201918416 is a wasteful number, since it uses less digits than its factorization.

201918416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 201918416 is about 14209.7999985925. The cubic root of 201918416 is about 586.6674282589.

The spelling of 201918416 in words is "two hundred one million, nine hundred eighteen thousand, four hundred sixteen".