224404024040 has 96 divisors (see below), whose sum is σ = 588304480680. Its totient is φ = 76812599808.

The previous prime is 224404024007. The next prime is 224404024043. The reversal of 224404024040 is 40420404422.

It can be written as a sum of positive squares in 4 ways, for example, as 30083514916 + 194320509124 = 173446^2 + 440818^2 .

It is not an unprimeable number, because it can be changed into a prime (224404024043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108094 + ... + 1294866.

Almost surely, 2^224404024040 is an apocalyptic number.

224404024040 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 224404024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294152240340).

224404024040 is an abundant number, since it is smaller than the sum of its proper divisors (363900456640).

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

224404024040 is a wasteful number, since it uses less digits than its factorization.

224404024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187411 (or 187400 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 224404024040 its reverse (40420404422), we get a palindrome (264824428462).

The spelling of 224404024040 in words is "two hundred twenty-four billion, four hundred four million, twenty-four thousand, forty".