4424214442240 has 72 divisors (see below), whose sum is σ = 10597884275160. Its totient is φ = 1769600925696.

The previous prime is 4424214442201. The next prime is 4424214442247. The reversal of 4424214442240 is 422444124244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54509174784 + 4369705267456 = 233472^2 + 2090384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4424214442240.

It is not an unprimeable number, because it can be changed into a prime (4424214442247) by changing a digit.

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, 31249692 + ... + 31390948.

It is an arithmetic number, because the mean of its divisors is an integer number (147192837155).

Almost surely, 2^{4424214442240} is an apocalyptic number.

4424214442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424214442240 is an abundant number, since it is smaller than the sum of its proper divisors (6173669832920).

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

4424214442240 is a wasteful number, since it uses less digits than its factorization.

4424214442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165747 (or 165733 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 37.

Adding to 4424214442240 its reverse (422444124244), we get a palindrome (4846658566484).

The spelling of 4424214442240 in words is "four trillion, four hundred twenty-four billion, two hundred fourteen million, four hundred forty-two thousand, two hundred forty".