441028130400 has 2304 divisors, whose sum is σ = 2046739000320. Its totient is φ = 89977651200.

The previous prime is 441028130399. The next prime is 441028130401. The reversal of 441028130400 is 4031820144.

It is an interprime number because it is at equal distance from previous prime (441028130399) and next prime (441028130401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441028130401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1942855087 + ... + 1942855313.

It is an arithmetic number, because the mean of its divisors is an integer number (888341580).

Almost surely, 2^441028130400 is an apocalyptic number.

441028130400 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 441028130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023369500160).

441028130400 is an abundant number, since it is smaller than the sum of its proper divisors (1605710869920).

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

441028130400 is a wasteful number, since it uses less digits than its factorization.

441028130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 441028130400 its reverse (4031820144), we get a palindrome (445059950544).

The spelling of 441028130400 in words is "four hundred forty-one billion, twenty-eight million, one hundred thirty thousand, four hundred".