20110040240200 has 96 divisors (see below), whose sum is σ = 47782665106560. Its totient is φ = 7867588140800.

The previous prime is 20110040240149. The next prime is 20110040240201. The reversal of 20110040240200 is 204204001102.

It is not an unprimeable number, because it can be changed into a prime (20110040240201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13317735 + ... + 14750665.

It is an arithmetic number, because the mean of its divisors is an integer number (497736094860).

Almost surely, 2^{20110040240200} is an apocalyptic number.

20110040240200 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 20110040240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891332553280).

20110040240200 is an abundant number, since it is smaller than the sum of its proper divisors (27672624866360).

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

20110040240200 is a wasteful number, since it uses less digits than its factorization.

20110040240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434487 (or 1434478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20110040240200 its reverse (204204001102), we get a palindrome (20314244241302).

It can be divided in two parts, 201 and 10040240200, that added together give a square (10040240401 = 100201²).

The spelling of 20110040240200 in words is "twenty trillion, one hundred ten billion, forty million, two hundred forty thousand, two hundred".