4224334312440 has 96 divisors (see below), whose sum is σ = 14977185303600. Its totient is φ = 1024081044480.

The previous prime is 4224334312391. The next prime is 4224334312477. The reversal of 4224334312440 is 442134334224.

4224334312440 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 334 + 312 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4224334312395 and 4224334312404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533371585 + ... + 533379504.

Almost surely, 2^{4224334312440} is an apocalyptic number.

4224334312440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224334312440 is an abundant number, since it is smaller than the sum of its proper divisors (10752850991160).

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

4224334312440 is a wasteful number, since it uses less digits than its factorization.

4224334312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066751117 (or 1066751110 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4224334312440 its reverse (442134334224), we get a palindrome (4666468646664).

The spelling of 4224334312440 in words is "four trillion, two hundred twenty-four billion, three hundred thirty-four million, three hundred twelve thousand, four hundred forty".