4224134140040 has 16 divisors (see below), whose sum is σ = 9504301815180. Its totient is φ = 1689653656000.

The previous prime is 4224134140007. The next prime is 4224134140087. The reversal of 4224134140040 is 400414314224.

It can be written as a sum of positive squares in 2 ways, for example, as 4195098661636 + 29035478404 = 2048194^2 + 170398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4224134139985 and 4224134140012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52801676711 + ... + 52801676790.

Almost surely, 2^{4224134140040} is an apocalyptic number.

4224134140040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224134140040 is an abundant number, since it is smaller than the sum of its proper divisors (5280167675140).

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

4224134140040 is a wasteful number, since it uses less digits than its factorization.

4224134140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105603353512 (or 105603353508 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4224134140040 its reverse (400414314224), we get a palindrome (4624548454264).

The spelling of 4224134140040 in words is "four trillion, two hundred twenty-four billion, one hundred thirty-four million, one hundred forty thousand, forty".