404481121641 has 16 divisors (see below), whose sum is σ = 600661454400. Its totient is φ = 269010507744.

The previous prime is 404481121637. The next prime is 404481121661. The reversal of 404481121641 is 146121184404.

404481121641 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 8 + 1 + 1 + 2 + 1 + 641 = 666.

It is not a de Polignac number, because 404481121641 - 2² = 404481121637 is a prime.

It is a super-2 number, since 2×404481121641² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404481121596 and 404481121605.

It is not an unprimeable number, because it can be changed into a prime (404481121661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17865516 + ... + 17888141.

It is an arithmetic number, because the mean of its divisors is an integer number (37541340900).

Almost surely, 2^404481121641 is an apocalyptic number.

It is an amenable number.

404481121641 is a deficient number, since it is larger than the sum of its proper divisors (196180332759).

404481121641 is a wasteful number, since it uses less digits than its factorization.

404481121641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35754085 (or 35754079 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 404481121641 in words is "four hundred four billion, four hundred eighty-one million, one hundred twenty-one thousand, six hundred forty-one".