441342121243144 has 24 divisors (see below), whose sum is σ = 909584227150830. Its totient is φ = 200610055110080.

The previous prime is 441342121243139. The next prime is 441342121243147.

It is a happy number.

441342121243144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 441323039136100 + 19082107044 = 21007690^2 + 138138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441342121243097 and 441342121243106.

It is not an unprimeable number, because it can be changed into a prime (441342121243147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227965970749 + ... + 227965972684.

Almost surely, 2^{441342121243144} is an apocalyptic number.

441342121243144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441342121243144 is an abundant number, since it is smaller than the sum of its proper divisors (468242105907686).

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

441342121243144 is a wasteful number, since it uses less digits than its factorization.

441342121243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455931943461 (or 455931943446 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 441342121243144 in words is "four hundred forty-one trillion, three hundred forty-two billion, one hundred twenty-one million, two hundred forty-three thousand, one hundred forty-four".