40244420224 has 64 divisors (see below), whose sum is σ = 82985633280. Its totient is φ = 19420185600.

The previous prime is 40244420179. The next prime is 40244420303. The reversal of 40244420224 is 42202444204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40244420224² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40244420192 and 40244420201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1466469 + ... + 1493659.

It is an arithmetic number, because the mean of its divisors is an integer number (1296650520).

Almost surely, 2^40244420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40244420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41492816640).

40244420224 is an abundant number, since it is smaller than the sum of its proper divisors (42741213056).

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

40244420224 is a wasteful number, since it uses less digits than its factorization.

40244420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27609 (or 27597 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40244420224 its reverse (42202444204), we get a palindrome (82446864428).

The spelling of 40244420224 in words is "forty billion, two hundred forty-four million, four hundred twenty thousand, two hundred twenty-four".