224134431430400 has 108 divisors (see below), whose sum is σ = 573897661297800. Its totient is φ = 86562263101440.

The previous prime is 224134431430337. The next prime is 224134431430411. The reversal of 224134431430400 is 4034134431422.

224134431430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603624830 + ... + 603996029.

Almost surely, 2^{224134431430400} is an apocalyptic number.

224134431430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224134431430400 is an abundant number, since it is smaller than the sum of its proper divisors (349763229867400).

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

224134431430400 is a wasteful number, since it uses less digits than its factorization.

224134431430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207620914 (or 1207620895 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 224134431430400 its reverse (4034134431422), we get a palindrome (228168565861822).

The spelling of 224134431430400 in words is "two hundred twenty-four trillion, one hundred thirty-four billion, four hundred thirty-one million, four hundred thirty thousand, four hundred".