6441331446 has 48 divisors (see below), whose sum is σ = 15334562880. Its totient is φ = 1937867760.

The previous prime is 6441331397. The next prime is 6441331453.

6441331446 is a `hidden beast` number, since 644 + 1 + 3 + 3 + 1 + 4 + 4 + 6 = 666.

6441331446 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6441331446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89500 + ... + 144543.

It is an arithmetic number, because the mean of its divisors is an integer number (319470060).

Almost surely, 2^6441331446 is an apocalyptic number.

6441331446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6441331446 is an abundant number, since it is smaller than the sum of its proper divisors (8893231434).

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

6441331446 is a wasteful number, since it uses less digits than its factorization.

6441331446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234201 (or 234198 counting only the distinct ones).

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

The square root of 6441331446 is about 80257.9058161874. The cubic root of 6441331446 is about 1860.6237016915.

It can be divided in two parts, 64413 and 31446, that added together give a palindrome (95859).

The spelling of 6441331446 in words is "six billion, four hundred forty-one million, three hundred thirty-one thousand, four hundred forty-six".