1442534352441 has 64 divisors (see below), whose sum is σ = 2401215860736. Its totient is φ = 750041568000.

The previous prime is 1442534352397. The next prime is 1442534352451.

1442534352441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1442534352441 - 2¹⁷ = 1442534221369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1442534352393 and 1442534352402.

It is not an unprimeable number, because it can be changed into a prime (1442534352451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6143836 + ... + 6374306.

It is an arithmetic number, because the mean of its divisors is an integer number (37518997824).

Almost surely, 2^{1442534352441} is an apocalyptic number.

It is an amenable number.

1442534352441 is a deficient number, since it is larger than the sum of its proper divisors (958681508295).

1442534352441 is a wasteful number, since it uses less digits than its factorization.

1442534352441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230822.

The product of its digits is 921600, while the sum is 42.

The spelling of 1442534352441 in words is "one trillion, four hundred forty-two billion, five hundred thirty-four million, three hundred fifty-two thousand, four hundred forty-one".