441405068688 has 30 divisors (see below), whose sum is σ = 1235321130134. Its totient is φ = 147135022848.

The previous prime is 441405068669. The next prime is 441405068693. The reversal of 441405068688 is 886860504144.

It is a happy number.

441405068688 is a `hidden beast` number, since 44 + 14 + 0 + 506 + 8 + 6 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 365652414864 + 75752653824 = 604692^2 + 275232^2 .

It is a super-3 number, since 3×441405068688³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1532656345 + ... + 1532656632.

Almost surely, 2^441405068688 is an apocalyptic number.

441405068688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441405068688 is an abundant number, since it is smaller than the sum of its proper divisors (793916061446).

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

441405068688 is a wasteful number, since it uses less digits than its factorization.

441405068688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065312991 (or 3065312982 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 441405068688 in words is "four hundred forty-one billion, four hundred five million, sixty-eight thousand, six hundred eighty-eight".