201213413440 has 224 divisors, whose sum is σ = 539594608896. Its totient is φ = 70910484480.

The previous prime is 201213413399. The next prime is 201213413461. The reversal of 201213413440 is 44314312102.

201213413440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50038630 + ... + 50042650.

It is an arithmetic number, because the mean of its divisors is an integer number (2408904504).

Almost surely, 2^201213413440 is an apocalyptic number.

201213413440 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 201213413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269797304448).

201213413440 is an abundant number, since it is smaller than the sum of its proper divisors (338381195456).

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

201213413440 is a wasteful number, since it uses less digits than its factorization.

201213413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 201213413440 its reverse (44314312102), we get a palindrome (245527725542).

The spelling of 201213413440 in words is "two hundred one billion, two hundred thirteen million, four hundred thirteen thousand, four hundred forty".