42223444020144 has 240 divisors, whose sum is σ = 127381368400000. Its totient is φ = 13013160136704.

The previous prime is 42223444020127. The next prime is 42223444020151. The reversal of 42223444020144 is 44102044432224.

42223444020144 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 3 + 4 + 440 + 201 + 4 + 4 = 666.

42223444020144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42223444020144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42223444020099 and 42223444020108.

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 47 ways as a sum of consecutive naturals, for example, 146798679 + ... + 147086025.

Almost surely, 2^{42223444020144} 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 42223444020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63690684200000).

42223444020144 is an abundant number, since it is smaller than the sum of its proper divisors (85157924379856).

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

42223444020144 is a wasteful number, since it uses less digits than its factorization.

42223444020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288672 (or 288663 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42223444020144 its reverse (44102044432224), we get a palindrome (86325488452368).

The spelling of 42223444020144 in words is "forty-two trillion, two hundred twenty-three billion, four hundred forty-four million, twenty thousand, one hundred forty-four".