201140411323440 has 160 divisors (see below), whose sum is σ = 631392509293056. Its totient is φ = 52962258032640.

The previous prime is 201140411323429. The next prime is 201140411323451. The reversal of 201140411323440 is 44323114041102.

It is a happy number.

201140411323440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201140411323429) and next prime (201140411323451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 201140411323398 and 201140411323407.

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, 33716172 + ... + 39230868.

Almost surely, 2^{201140411323440} is an apocalyptic number.

201140411323440 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 201140411323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315696254646528).

201140411323440 is an abundant number, since it is smaller than the sum of its proper divisors (430252097969616).

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

201140411323440 is a wasteful number, since it uses less digits than its factorization.

201140411323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516627 (or 5516621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 201140411323440 its reverse (44323114041102), we get a palindrome (245463525364542).

The spelling of 201140411323440 in words is "two hundred one trillion, one hundred forty billion, four hundred eleven million, three hundred twenty-three thousand, four hundred forty".