201213431120440 has 128 divisors (see below), whose sum is σ = 475424653017600. Its totient is φ = 76574140715520.

The previous prime is 201213431120431. The next prime is 201213431120461. The reversal of 201213431120440 is 44021134312102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201213431120399 and 201213431120408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497151 + ... + 20116369.

It is an arithmetic number, because the mean of its divisors is an integer number (3714255101700).

Almost surely, 2^{201213431120440} is an apocalyptic number.

201213431120440 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 201213431120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237712326508800).

201213431120440 is an abundant number, since it is smaller than the sum of its proper divisors (274211221897160).

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

201213431120440 is a wasteful number, since it uses less digits than its factorization.

201213431120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18619437 (or 18619433 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 201213431120440 its reverse (44021134312102), we get a palindrome (245234565432542).

The spelling of 201213431120440 in words is "two hundred one trillion, two hundred thirteen billion, four hundred thirty-one million, one hundred twenty thousand, four hundred forty".