444104243343400 has 48 divisors (see below), whose sum is σ = 1093280152003740. Its totient is φ = 167192185728000.

The previous prime is 444104243343329. The next prime is 444104243343403. The reversal of 444104243343400 is 4343342401444.

It can be written as a sum of positive squares in 6 ways, for example, as 228032529756516 + 216071713586884 = 15100746^2 + 14699378^2 .

It is a super-2 number, since 2×444104243343400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (444104243343403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65309444151 + ... + 65309450950.

Almost surely, 2^{444104243343400} is an apocalyptic number.

444104243343400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444104243343400 is an abundant number, since it is smaller than the sum of its proper divisors (649175908660340).

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

444104243343400 is a wasteful number, since it uses less digits than its factorization.

444104243343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130618895134 (or 130618895125 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 444104243343400 its reverse (4343342401444), we get a palindrome (448447585744844).

The spelling of 444104243343400 in words is "four hundred forty-four trillion, one hundred four billion, two hundred forty-three million, three hundred forty-three thousand, four hundred".