201321343440 has 240 divisors, whose sum is σ = 785788099200. Its totient is φ = 45236302848.

The previous prime is 201321343397. The next prime is 201321343453. The reversal of 201321343440 is 44343123102.

201321343440 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 213 + 4 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41155 + ... + 635874.

It is an arithmetic number, because the mean of its divisors is an integer number (3274117080).

Almost surely, 2^201321343440 is an apocalyptic number.

201321343440 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 201321343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392894049600).

201321343440 is an abundant number, since it is smaller than the sum of its proper divisors (584466755760).

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

201321343440 is a wasteful number, since it uses less digits than its factorization.

201321343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677114 (or 677105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201321343440 its reverse (44343123102), we get a palindrome (245664466542).

The spelling of 201321343440 in words is "two hundred one billion, three hundred twenty-one million, three hundred forty-three thousand, four hundred forty".