201141112340 has 144 divisors (see below), whose sum is σ = 494469323712. Its totient is φ = 68527678464.

The previous prime is 201141112309. The next prime is 201141112387. The reversal of 201141112340 is 43211141102.

It is a super-4 number, since 4×201141112340⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 129517004 + ... + 129518556.

It is an arithmetic number, because the mean of its divisors is an integer number (3433814748).

Almost surely, 2^201141112340 is an apocalyptic number.

201141112340 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 201141112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247234661856).

201141112340 is an abundant number, since it is smaller than the sum of its proper divisors (293328211372).

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

201141112340 is a wasteful number, since it uses less digits than its factorization.

201141112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 201141112340 its reverse (43211141102), we get a palindrome (244352253442).

The spelling of 201141112340 in words is "two hundred one billion, one hundred forty-one million, one hundred twelve thousand, three hundred forty".