201141040442304 has 112 divisors (see below), whose sum is σ = 542697098162688. Its totient is φ = 65735658774528.

The previous prime is 201141040442281. The next prime is 201141040442333. The reversal of 201141040442304 is 403244040141102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48474984 + ... + 52460519.

It is an arithmetic number, because the mean of its divisors is an integer number (4845509805024).

Almost surely, 2^{201141040442304} is an apocalyptic number.

201141040442304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201141040442304 is an abundant number, since it is smaller than the sum of its proper divisors (341556057720384).

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

201141040442304 is a wasteful number, since it uses less digits than its factorization.

201141040442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100935722 (or 100935712 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 201141040442304 its reverse (403244040141102), we get a palindrome (604385080583406).

The spelling of 201141040442304 in words is "two hundred one trillion, one hundred forty-one billion, forty million, four hundred forty-two thousand, three hundred four".