2041431342000 has 160 divisors (see below), whose sum is σ = 6583569071040. Its totient is φ = 544216729600.

The previous prime is 2041431341987. The next prime is 2041431342127. The reversal of 2041431342000 is 2431341402.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 20428156 + ... + 20527844.

It is an arithmetic number, because the mean of its divisors is an integer number (41147306694).

Almost surely, 2^{2041431342000} is an apocalyptic number.

2041431342000 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 2041431342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291784535520).

2041431342000 is an abundant number, since it is smaller than the sum of its proper divisors (4542137729040).

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

2041431342000 is a wasteful number, since it uses less digits than its factorization.

2041431342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103128 (or 103112 counting only the distinct ones).

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

Adding to 2041431342000 its reverse (2431341402), we get a palindrome (2043862683402).

The spelling of 2041431342000 in words is "two trillion, forty-one billion, four hundred thirty-one million, three hundred forty-two thousand".