441108121440 has 1152 divisors, whose sum is σ = 1743029342208. Its totient is φ = 93315317760.

The previous prime is 441108121427. The next prime is 441108121451. The reversal of 441108121440 is 44121801144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 441108121398 and 441108121407.

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 191 ways as a sum of consecutive naturals, for example, 2239127422 + ... + 2239127618.

It is an arithmetic number, because the mean of its divisors is an integer number (1513046304).

Almost surely, 2^441108121440 is an apocalyptic number.

441108121440 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 441108121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871514671104).

441108121440 is an abundant number, since it is smaller than the sum of its proper divisors (1301921220768).

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

441108121440 is a wasteful number, since it uses less digits than its factorization.

441108121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 441108121440 its reverse (44121801144), we get a palindrome (485229922584).

The spelling of 441108121440 in words is "four hundred forty-one billion, one hundred eight million, one hundred twenty-one thousand, four hundred forty".