224001441120 has 384 divisors, whose sum is σ = 774258186240. Its totient is φ = 54210723840.

The previous prime is 224001441113. The next prime is 224001441149. The reversal of 224001441120 is 21144100422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27715480 + ... + 27723560.

It is an arithmetic number, because the mean of its divisors is an integer number (2016297360).

Almost surely, 2^224001441120 is an apocalyptic number.

224001441120 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 224001441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387129093120).

224001441120 is an abundant number, since it is smaller than the sum of its proper divisors (550256745120).

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

224001441120 is a wasteful number, since it uses less digits than its factorization.

224001441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 224001441120 its reverse (21144100422), we get a palindrome (245145541542).

The spelling of 224001441120 in words is "two hundred twenty-four billion, one million, four hundred forty-one thousand, one hundred twenty".