240223414144 has 128 divisors (see below), whose sum is σ = 568634904000. Its totient is φ = 101009405952.

The previous prime is 240223414133. The next prime is 240223414147. The reversal of 240223414144 is 441414322042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240223414147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275294 + ... + 2378530.

Almost surely, 2^240223414144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240223414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284317452000).

240223414144 is an abundant number, since it is smaller than the sum of its proper divisors (328411489856).

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

240223414144 is an equidigital number, since it uses as much as digits as its factorization.

240223414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103325 (or 103299 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 240223414144 its reverse (441414322042), we get a palindrome (681637736186).

The spelling of 240223414144 in words is "two hundred forty billion, two hundred twenty-three million, four hundred fourteen thousand, one hundred forty-four".