441411040 has 96 divisors (see below), whose sum is σ = 1254597120. Its totient is φ = 143368704.

The previous prime is 441411031. The next prime is 441411143. The reversal of 441411040 is 40114144.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 441410999 and 441411017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10909 + ... + 31651.

It is an arithmetic number, because the mean of its divisors is an integer number (13068720).

Almost surely, 2^441411040 is an apocalyptic number.

441411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627298560).

441411040 is an abundant number, since it is smaller than the sum of its proper divisors (813186080).

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

441411040 is a wasteful number, since it uses less digits than its factorization.

441411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 441411040 is about 21009.7843872801. The cubic root of 441411040 is about 761.4026727615.

Adding to 441411040 its reverse (40114144), we get a palindrome (481525184).

The spelling of 441411040 in words is "four hundred forty-one million, four hundred eleven thousand, forty".