1422344432241 has 48 divisors (see below), whose sum is σ = 2089939522320. Its totient is φ = 932024793600.

The previous prime is 1422344432227. The next prime is 1422344432251.

1422344432241 is a `hidden beast` number, since 1 + 42 + 2 + 344 + 4 + 32 + 241 = 666.

1422344432241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 183608822016 + 1238735610225 = 428496^2 + 1112985^2 .

It is not a de Polignac number, because 1422344432241 - 2⁵ = 1422344432209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1422344432196 and 1422344432205.

It is not an unprimeable number, because it can be changed into a prime (1422344432251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111488835 + ... + 111501591.

It is an arithmetic number, because the mean of its divisors is an integer number (43540406715).

Almost surely, 2^{1422344432241} is an apocalyptic number.

It is an amenable number.

1422344432241 is a deficient number, since it is larger than the sum of its proper divisors (667595090079).

1422344432241 is a wasteful number, since it uses less digits than its factorization.

1422344432241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13743 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 1422344432241 in words is "one trillion, four hundred twenty-two billion, three hundred forty-four million, four hundred thirty-two thousand, two hundred forty-one".