441331202133144 has 144 divisors (see below), whose sum is σ = 1268102455303320. Its totient is φ = 138573295096320.

The previous prime is 441331202133127. The next prime is 441331202133167.

441331202133144 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 3 + 120 + 213 + 314 + 4 = 666.

441331202133144 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×441331202133144⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441331202133099 and 441331202133108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86401102 + ... + 91366365.

Almost surely, 2^{441331202133144} is an apocalyptic number.

It is an amenable number.

441331202133144 is an abundant number, since it is smaller than the sum of its proper divisors (826771253170176).

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

441331202133144 is a wasteful number, since it uses less digits than its factorization.

441331202133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177767578 (or 177767542 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 44133120 and 2133144, that added together give a palindrome (46266264).

The spelling of 441331202133144 in words is "four hundred forty-one trillion, three hundred thirty-one billion, two hundred two million, one hundred thirty-three thousand, one hundred forty-four".