441345040000 has 320 divisors, whose sum is σ = 1133596632960. Its totient is φ = 171011072000.

The previous prime is 441345039991. The next prime is 441345040067. The reversal of 441345040000 is 40543144.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 402319452 + ... + 402320548.

It is an arithmetic number, because the mean of its divisors is an integer number (3542489478).

Almost surely, 2^441345040000 is an apocalyptic number.

441345040000 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 441345040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566798316480).

441345040000 is an abundant number, since it is smaller than the sum of its proper divisors (692251592960).

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

441345040000 is a wasteful number, since it uses less digits than its factorization.

441345040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 441345040000 its reverse (40543144), we get a palindrome (441385583144).

The spelling of 441345040000 in words is "four hundred forty-one billion, three hundred forty-five million, forty thousand".