40422444242256 has 160 divisors (see below), whose sum is σ = 120073502304000. Its totient is φ = 13004626263552.

The previous prime is 40422444242179. The next prime is 40422444242267. The reversal of 40422444242256 is 65224244422404.

40422444242256 is a `hidden beast` number, since 40 + 42 + 244 + 42 + 42 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32756250 + ... + 33967878.

It is an arithmetic number, because the mean of its divisors is an integer number (750459389400).

Almost surely, 2^{40422444242256} 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 40422444242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60036751152000).

40422444242256 is an abundant number, since it is smaller than the sum of its proper divisors (79651058061744).

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

40422444242256 is a wasteful number, since it uses less digits than its factorization.

40422444242256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214338 (or 1214326 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 45.

The spelling of 40422444242256 in words is "forty trillion, four hundred twenty-two billion, four hundred forty-four million, two hundred forty-two thousand, two hundred fifty-six".