240220112040100 has 144 divisors (see below), whose sum is σ = 532879440755200. Its totient is φ = 93973046469120.

The previous prime is 240220112040071. The next prime is 240220112040101. The reversal of 240220112040100 is 1040211022042.

It is not an unprimeable number, because it can be changed into a prime (240220112040101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2981949022 + ... + 2982029578.

Almost surely, 2^{240220112040100} is an apocalyptic number.

240220112040100 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 240220112040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266439720377600).

240220112040100 is an abundant number, since it is smaller than the sum of its proper divisors (292659328715100).

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

240220112040100 is a wasteful number, since it uses less digits than its factorization.

240220112040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84222 (or 84215 counting only the distinct ones).

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

Adding to 240220112040100 its reverse (1040211022042), we get a palindrome (241260323062142).

The spelling of 240220112040100 in words is "two hundred forty trillion, two hundred twenty billion, one hundred twelve million, forty thousand, one hundred".