224042132440 has 256 divisors, whose sum is σ = 610799616000. Its totient is φ = 72302630400.

The previous prime is 224042132399. The next prime is 224042132467. The reversal of 224042132440 is 44231240422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 224042132399 and 224042132408.

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, 213169915 + ... + 213170965.

It is an arithmetic number, because the mean of its divisors is an integer number (2385936000).

Almost surely, 2^224042132440 is an apocalyptic number.

224042132440 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 224042132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305399808000).

224042132440 is an abundant number, since it is smaller than the sum of its proper divisors (386757483560).

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

224042132440 is a wasteful number, since it uses less digits than its factorization.

224042132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 224042132440 its reverse (44231240422), we get a palindrome (268273372862).

The spelling of 224042132440 in words is "two hundred twenty-four billion, forty-two million, one hundred thirty-two thousand, four hundred forty".