441114430440 has 64 divisors (see below), whose sum is σ = 1380879964800. Its totient is φ = 112516143872.

The previous prime is 441114430391. The next prime is 441114430517. The reversal of 441114430440 is 44034411144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 441114430398 and 441114430407.

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 15 ways as a sum of consecutive naturals, for example, 79909275 + ... + 79914794.

It is an arithmetic number, because the mean of its divisors is an integer number (21576249450).

Almost surely, 2^441114430440 is an apocalyptic number.

441114430440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441114430440 is an abundant number, since it is smaller than the sum of its proper divisors (939765534360).

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

441114430440 is a wasteful number, since it uses less digits than its factorization.

441114430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159824106 (or 159824102 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 441114430440 its reverse (44034411144), we get a palindrome (485148841584).

The spelling of 441114430440 in words is "four hundred forty-one billion, one hundred fourteen million, four hundred thirty thousand, four hundred forty".