201041043040 has 96 divisors (see below), whose sum is σ = 491493199680. Its totient is φ = 77618817024.

The previous prime is 201041042989. The next prime is 201041043059. The reversal of 201041043040 is 40340140102.

It is a super-2 number, since 2×201041043040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201041042999 and 201041043017.

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 15 ways as a sum of consecutive naturals, for example, 22745502 + ... + 22754338.

It is an arithmetic number, because the mean of its divisors is an integer number (5119720830).

Almost surely, 2^201041043040 is an apocalyptic number.

201041043040 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 201041043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245746599840).

201041043040 is an abundant number, since it is smaller than the sum of its proper divisors (290452156640).

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

201041043040 is a wasteful number, since it uses less digits than its factorization.

201041043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 201041043040 its reverse (40340140102), we get a palindrome (241381183142).

The spelling of 201041043040 in words is "two hundred one billion, forty-one million, forty-three thousand, forty".