224004230040 has 128 divisors (see below), whose sum is σ = 677845324800. Its totient is φ = 59217868800.

The previous prime is 224004230017. The next prime is 224004230041. The reversal of 224004230040 is 40032400422.

It is a junction number, because it is equal to n+sod(n) for n = 224004229989 and 224004230016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224004230041) 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, 7829281 + ... + 7857839.

It is an arithmetic number, because the mean of its divisors is an integer number (5295666600).

Almost surely, 2^224004230040 is an apocalyptic number.

224004230040 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 224004230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338922662400).

224004230040 is an abundant number, since it is smaller than the sum of its proper divisors (453841094760).

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

224004230040 is a wasteful number, since it uses less digits than its factorization.

224004230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29137 (or 29133 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 224004230040 its reverse (40032400422), we get a palindrome (264036630462).

The spelling of 224004230040 in words is "two hundred twenty-four billion, four million, two hundred thirty thousand, forty".