20110240200440 has 128 divisors (see below), whose sum is σ = 51304489689600. Its totient is φ = 7032982049280.

The previous prime is 20110240200437. The next prime is 20110240200467. The reversal of 20110240200440 is 4400204201102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 45653645 + ... + 46092035.

It is an arithmetic number, because the mean of its divisors is an integer number (400816325700).

Almost surely, 2^{20110240200440} is an apocalyptic number.

20110240200440 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 20110240200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652244844800).

20110240200440 is an abundant number, since it is smaller than the sum of its proper divisors (31194249489160).

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

20110240200440 is a wasteful number, since it uses less digits than its factorization.

20110240200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443077 (or 443073 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20110240200440 its reverse (4400204201102), we get a palindrome (24510444401542).

The spelling of 20110240200440 in words is "twenty trillion, one hundred ten billion, two hundred forty million, two hundred thousand, four hundred forty".