201279411960 has 256 divisors, whose sum is σ = 674016215040. Its totient is φ = 47666833920.

The previous prime is 201279411937. The next prime is 201279411979. The reversal of 201279411960 is 69114972102.

201279411960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36414717 + ... + 36420243.

It is an arithmetic number, because the mean of its divisors is an integer number (2632875840).

Almost surely, 2^201279411960 is an apocalyptic number.

201279411960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201279411960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337008107520).

201279411960 is an abundant number, since it is smaller than the sum of its proper divisors (472736803080).

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

201279411960 is a wasteful number, since it uses less digits than its factorization.

201279411960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 201279411960 in words is "two hundred one billion, two hundred seventy-nine million, four hundred eleven thousand, nine hundred sixty".