2040134211120 has 160 divisors (see below), whose sum is σ = 6600884659200. Its totient is φ = 520264256512.

The previous prime is 2040134211083. The next prime is 2040134211121. The reversal of 2040134211120 is 211124310402.

It is not an unprimeable number, because it can be changed into a prime (2040134211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25788586 + ... + 25867574.

It is an arithmetic number, because the mean of its divisors is an integer number (41255529120).

Almost surely, 2^{2040134211120} is an apocalyptic number.

2040134211120 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 2040134211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300442329600).

2040134211120 is an abundant number, since it is smaller than the sum of its proper divisors (4560750448080).

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

2040134211120 is a wasteful number, since it uses less digits than its factorization.

2040134211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83707 (or 83701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2040134211120 its reverse (211124310402), we get a palindrome (2251258521522).

The spelling of 2040134211120 in words is "two trillion, forty billion, one hundred thirty-four million, two hundred eleven thousand, one hundred twenty".