4442102400241 has 16 divisors (see below), whose sum is σ = 5117545681920. Its totient is φ = 3816159194320.

The previous prime is 4442102400233. The next prime is 4442102400259. The reversal of 4442102400241 is 1420042012444.

It is a happy number.

It is not a de Polignac number, because 4442102400241 - 2³ = 4442102400233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4442102400941) 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 15 ways as a sum of consecutive naturals, for example, 105748381 + ... + 105790378.

It is an arithmetic number, because the mean of its divisors is an integer number (319846605120).

Almost surely, 2^{4442102400241} is an apocalyptic number.

It is an amenable number.

4442102400241 is a deficient number, since it is larger than the sum of its proper divisors (675443281679).

4442102400241 is a wasteful number, since it uses less digits than its factorization.

4442102400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211538876.

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4442102400241 its reverse (1420042012444), we get a palindrome (5862144412685).

The spelling of 4442102400241 in words is "four trillion, four hundred forty-two billion, one hundred two million, four hundred thousand, two hundred forty-one".