201042341340 has 192 divisors, whose sum is σ = 607667235840. Its totient is φ = 49496279040.

The previous prime is 201042341333. The next prime is 201042341393. The reversal of 201042341340 is 43143240102.

It is a super-2 number, since 2×201042341340² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201042341340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57161262 + ... + 57164778.

It is an arithmetic number, because the mean of its divisors is an integer number (3164933520).

Almost surely, 2^201042341340 is an apocalyptic number.

201042341340 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 201042341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303833617920).

201042341340 is an abundant number, since it is smaller than the sum of its proper divisors (406624894500).

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

201042341340 is a wasteful number, since it uses less digits than its factorization.

201042341340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201042341340 its reverse (43143240102), we get a palindrome (244185581442).

The spelling of 201042341340 in words is "two hundred one billion, forty-two million, three hundred forty-one thousand, three hundred forty".