4414246424144 has 40 divisors (see below), whose sum is σ = 8928689781000. Its totient is φ = 2111464889856.

The previous prime is 4414246424113. The next prime is 4414246424167.

4414246424144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2571494473744 + 1842751950400 = 1603588^2 + 1357480^2 .

It is a super-2 number, since 2×4414246424144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4414246424095 and 4414246424104.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 43589159 + ... + 43690310.

It is an arithmetic number, because the mean of its divisors is an integer number (223217244525).

Almost surely, 2^{4414246424144} is an apocalyptic number.

It is an amenable number.

4414246424144 is an abundant number, since it is smaller than the sum of its proper divisors (4514443356856).

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

4414246424144 is a wasteful number, since it uses less digits than its factorization.

4414246424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87279615 (or 87279609 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 44.

The spelling of 4414246424144 in words is "four trillion, four hundred fourteen billion, two hundred forty-six million, four hundred twenty-four thousand, one hundred forty-four".