441201280 has 128 divisors (see below), whose sum is σ = 1196092800. Its totient is φ = 154275840.

The previous prime is 441201251. The next prime is 441201301. The reversal of 441201280 is 82102144.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156685 + ... + 159475.

It is an arithmetic number, because the mean of its divisors is an integer number (9344475).

Almost surely, 2^441201280 is an apocalyptic number.

441201280 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 441201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598046400).

441201280 is an abundant number, since it is smaller than the sum of its proper divisors (754891520).

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

441201280 is a wasteful number, since it uses less digits than its factorization.

441201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 441201280 is about 21004.7918342458. The cubic root of 441201280 is about 761.2820466214.

The spelling of 441201280 in words is "four hundred forty-one million, two hundred one thousand, two hundred eighty".