441140300412 has 144 divisors (see below), whose sum is σ = 1314580942080. Its totient is φ = 112382360064.

The previous prime is 441140300389. The next prime is 441140300473. The reversal of 441140300412 is 214003041144.

It is a super-3 number, since 3×441140300412³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 87639 + ... + 943377.

It is an arithmetic number, because the mean of its divisors is an integer number (9129034320).

Almost surely, 2^441140300412 is an apocalyptic number.

441140300412 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 441140300412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657290471040).

441140300412 is an abundant number, since it is smaller than the sum of its proper divisors (873440641668).

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

441140300412 is a wasteful number, since it uses less digits than its factorization.

441140300412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855808 (or 855787 counting only the distinct ones).

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

Adding to 441140300412 its reverse (214003041144), we get a palindrome (655143341556).

The spelling of 441140300412 in words is "four hundred forty-one billion, one hundred forty million, three hundred thousand, four hundred twelve".