224431303423040 has 224 divisors, whose sum is σ = 612763428003840. Its totient is φ = 76697432193024.

The previous prime is 224431303423039. The next prime is 224431303423133. The reversal of 224431303423040 is 40324303134422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567634981 + ... + 1567778139.

Almost surely, 2^{224431303423040} is an apocalyptic number.

224431303423040 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 224431303423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306381714001920).

224431303423040 is an abundant number, since it is smaller than the sum of its proper divisors (388332124580800).

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

224431303423040 is a wasteful number, since it uses less digits than its factorization.

224431303423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145457 (or 145447 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 224431303423040 its reverse (40324303134422), we get a palindrome (264755606557462).

The spelling of 224431303423040 in words is "two hundred twenty-four trillion, four hundred thirty-one billion, three hundred three million, four hundred twenty-three thousand, forty".