441314412 has 96 divisors (see below), whose sum is σ = 1292734464. Its totient is φ = 113832000.

The previous prime is 441314399. The next prime is 441314417. The reversal of 441314412 is 214413144.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (441314417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137943 + ... + 141105.

It is an arithmetic number, because the mean of its divisors is an integer number (13465984).

Almost surely, 2^441314412 is an apocalyptic number.

441314412 is a gapful number since it is divisible by the number (42) 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 441314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646367232).

441314412 is an abundant number, since it is smaller than the sum of its proper divisors (851420052).

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

441314412 is a wasteful number, since it uses less digits than its factorization.

441314412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3337 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 441314412 is about 21007.4846661850. The cubic root of 441314412 is about 761.3471098960.

Adding to 441314412 its reverse (214413144), we get a palindrome (655727556).

The spelling of 441314412 in words is "four hundred forty-one million, three hundred fourteen thousand, four hundred twelve".