4224130431040 has 112 divisors (see below), whose sum is σ = 10841864887728. Its totient is φ = 1558324445184.

The previous prime is 4224130431019. The next prime is 4224130431043. The reversal of 4224130431040 is 401340314224.

It can be written as a sum of positive squares in 8 ways, for example, as 211865042944 + 4012265388096 = 460288^2 + 2003064^2 .

It is not an unprimeable number, because it can be changed into a prime (4224130431043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356144 + ... + 5236816.

It is an arithmetic number, because the mean of its divisors is an integer number (96802365069).

Almost surely, 2^{4224130431040} is an apocalyptic number.

4224130431040 is a gapful number since it is divisible by the number (40) 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 4224130431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420932443864).

4224130431040 is an abundant number, since it is smaller than the sum of its proper divisors (6617734456688).

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

4224130431040 is a wasteful number, since it uses less digits than its factorization.

4224130431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881856 (or 881846 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4224130431040 its reverse (401340314224), we get a palindrome (4625470745264).

The spelling of 4224130431040 in words is "four trillion, two hundred twenty-four billion, one hundred thirty million, four hundred thirty-one thousand, forty".