233220044241440 has 96 divisors (see below), whose sum is σ = 554255782133760. Its totient is φ = 92733958933504.

The previous prime is 233220044241421. The next prime is 233220044241461. The reversal of 233220044241440 is 44142440022332.

It is a self number, because there is not a number n which added to its sum of digits gives 233220044241440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173354081 + ... + 174694239.

It is an arithmetic number, because the mean of its divisors is an integer number (5773497730560).

Almost surely, 2^{233220044241440} is an apocalyptic number.

233220044241440 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 233220044241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277127891066880).

233220044241440 is an abundant number, since it is smaller than the sum of its proper divisors (321035737892320).

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

233220044241440 is a wasteful number, since it uses less digits than its factorization.

233220044241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346634 (or 1346626 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 233220044241440 its reverse (44142440022332), we get a palindrome (277362484263772).

The spelling of 233220044241440 in words is "two hundred thirty-three trillion, two hundred twenty billion, forty-four million, two hundred forty-one thousand, four hundred forty".