224212430023040 has 64 divisors (see below), whose sum is σ = 536014758389760. Its totient is φ = 89683814510592.

The previous prime is 224212430023027. The next prime is 224212430023067. The reversal of 224212430023040 is 40320034212422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×224212430023040³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224212430022994 and 224212430023012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48247169 + ... + 52689791.

It is an arithmetic number, because the mean of its divisors is an integer number (8375230599840).

Almost surely, 2^{224212430023040} is an apocalyptic number.

224212430023040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224212430023040 is an abundant number, since it is smaller than the sum of its proper divisors (311802328366720).

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

224212430023040 is an equidigital number, since it uses as much as digits as its factorization.

224212430023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521499 (or 4521487 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 224212430023040 its reverse (40320034212422), we get a palindrome (264532464235462).

The spelling of 224212430023040 in words is "two hundred twenty-four trillion, two hundred twelve billion, four hundred thirty million, twenty-three thousand, forty".