414083056821 has 48 divisors (see below), whose sum is σ = 649969084800. Its totient is φ = 233783746560.

The previous prime is 414083056817. The next prime is 414083056823. The reversal of 414083056821 is 128650380414.

It is a happy number.

It is not a de Polignac number, because 414083056821 - 2² = 414083056817 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414083056823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8516901 + ... + 8565381.

It is an arithmetic number, because the mean of its divisors is an integer number (13541022600).

Almost surely, 2^414083056821 is an apocalyptic number.

It is an amenable number.

414083056821 is a deficient number, since it is larger than the sum of its proper divisors (235886027979).

414083056821 is a wasteful number, since it uses less digits than its factorization.

414083056821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49194 (or 49187 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 414083056821 in words is "four hundred fourteen billion, eighty-three million, fifty-six thousand, eight hundred twenty-one".