224432045321440 has 192 divisors, whose sum is σ = 584033598086400. Its totient is φ = 80821194711040.

The previous prime is 224432045321423. The next prime is 224432045321447. The reversal of 224432045321440 is 44123540234422.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 224432045321393 and 224432045321402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224432045321447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235595211 + ... + 236545909.

It is an arithmetic number, because the mean of its divisors is an integer number (3041841656700).

Almost surely, 2^{224432045321440} is an apocalyptic number.

224432045321440 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 224432045321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292016799043200).

224432045321440 is an abundant number, since it is smaller than the sum of its proper divisors (359601552764960).

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

224432045321440 is a wasteful number, since it uses less digits than its factorization.

224432045321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952025 (or 952017 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 224432045321440 its reverse (44123540234422), we get a palindrome (268555585555862).

The spelling of 224432045321440 in words is "two hundred twenty-four trillion, four hundred thirty-two billion, forty-five million, three hundred twenty-one thousand, four hundred forty".