441220400093 has 16 divisors (see below), whose sum is σ = 501154299072. Its totient is φ = 384911088000.

The previous prime is 441220400083. The next prime is 441220400107. The reversal of 441220400093 is 390004022144.

It is a cyclic number.

It is not a de Polignac number, because 441220400093 - 2¹⁸ = 441220137949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441220400003) 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, 7991471 + ... + 8046492.

It is an arithmetic number, because the mean of its divisors is an integer number (31322143692).

Almost surely, 2^441220400093 is an apocalyptic number.

It is an amenable number.

441220400093 is a deficient number, since it is larger than the sum of its proper divisors (59933898979).

441220400093 is a wasteful number, since it uses less digits than its factorization.

441220400093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16038076.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 441220400093 in words is "four hundred forty-one billion, two hundred twenty million, four hundred thousand, ninety-three".