441325312000 has 384 divisors, whose sum is σ = 1188051883200. Its totient is φ = 163086336000.

The previous prime is 441325311991. The next prime is 441325312009. The reversal of 441325312000 is 213523144.

It is an interprime number because it is at equal distance from previous prime (441325311991) and next prime (441325312009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441325312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199422894 + ... + 199425106.

Almost surely, 2^441325312000 is an apocalyptic number.

441325312000 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 441325312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594025941600).

441325312000 is an abundant number, since it is smaller than the sum of its proper divisors (746726571200).

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

441325312000 is a wasteful number, since it uses less digits than its factorization.

441325312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 441325312000 its reverse (213523144), we get a palindrome (441538835144).

The spelling of 441325312000 in words is "four hundred forty-one billion, three hundred twenty-five million, three hundred twelve thousand".