2040211404100 has 144 divisors (see below), whose sum is σ = 4637079207936. Its totient is φ = 778257936000.

The previous prime is 2040211404097. The next prime is 2040211404109. The reversal of 2040211404100 is 14041120402.

It is not an unprimeable number, because it can be changed into a prime (2040211404109) 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 47 ways as a sum of consecutive naturals, for example, 63338599 + ... + 63370801.

It is an arithmetic number, because the mean of its divisors is an integer number (32201938944).

Almost surely, 2^{2040211404100} is an apocalyptic number.

2040211404100 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 2040211404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318539603968).

2040211404100 is an abundant number, since it is smaller than the sum of its proper divisors (2596867803836).

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

2040211404100 is a wasteful number, since it uses less digits than its factorization.

2040211404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32546 (or 32539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2040211404100 its reverse (14041120402), we get a palindrome (2054252524502).

The spelling of 2040211404100 in words is "two trillion, forty billion, two hundred eleven million, four hundred four thousand, one hundred".