1420332330241 has 24 divisors (see below), whose sum is σ = 1576045323720. Its totient is φ = 1278941368320.

The previous prime is 1420332330227. The next prime is 1420332330247.

It is a happy number.

1420332330241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 57182678641 + 1363149651600 = 239129^2 + 1167540^2 .

It is not a de Polignac number, because 1420332330241 - 2¹¹ = 1420332328193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1420332330247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21200725 + ... + 21267613.

It is an arithmetic number, because the mean of its divisors is an integer number (65668555155).

Almost surely, 2^{1420332330241} is an apocalyptic number.

1420332330241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1420332330241 is a deficient number, since it is larger than the sum of its proper divisors (155712993479).

1420332330241 is a wasteful number, since it uses less digits than its factorization.

1420332330241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68577 (or 68566 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 1420332330241 in words is "one trillion, four hundred twenty billion, three hundred thirty-two million, three hundred thirty thousand, two hundred forty-one".