444242541001300 has 72 divisors (see below), whose sum is σ = 975641524133472. Its totient is φ = 175552367952000.

The previous prime is 444242541001267. The next prime is 444242541001307. The reversal of 444242541001300 is 3100145242444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444242541001307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408904810 + ... + 409989790.

It is an arithmetic number, because the mean of its divisors is an integer number (13550576724076).

Almost surely, 2^{444242541001300} is an apocalyptic number.

It is an amenable number.

444242541001300 is an abundant number, since it is smaller than the sum of its proper divisors (531398983132172).

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

444242541001300 is a wasteful number, since it uses less digits than its factorization.

444242541001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134409 (or 1134402 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 444242541001300 its reverse (3100145242444), we get a palindrome (447342686243744).

The spelling of 444242541001300 in words is "four hundred forty-four trillion, two hundred forty-two billion, five hundred forty-one million, one thousand, three hundred".