142426424400444 has 240 divisors, whose sum is σ = 399313688004000. Its totient is φ = 44110585995264.

The previous prime is 142426424400401. The next prime is 142426424400451. The reversal of 142426424400444 is 444004424624241.

142426424400444 is a `hidden beast` number, since 142 + 4 + 2 + 6 + 4 + 24 + 40 + 0 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142426424400444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133240452 + ... + 134305140.

It is an arithmetic number, because the mean of its divisors is an integer number (1663807033350).

Almost surely, 2^{142426424400444} 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 142426424400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199656844002000).

142426424400444 is an abundant number, since it is smaller than the sum of its proper divisors (256887263603556).

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

142426424400444 is a wasteful number, since it uses less digits than its factorization.

142426424400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065034 (or 1065023 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 45.

The spelling of 142426424400444 in words is "one hundred forty-two trillion, four hundred twenty-six billion, four hundred twenty-four million, four hundred thousand, four hundred forty-four".