441284375040 has 160 divisors (see below), whose sum is σ = 1456239223296. Its totient is φ = 113879777280.

The previous prime is 441284375003. The next prime is 441284375041. The reversal of 441284375040 is 40573482144.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 441284374983 and 441284375001.

It is not an unprimeable number, because it can be changed into a prime (441284375041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688677 + ... + 1164836.

Almost surely, 2^441284375040 is an apocalyptic number.

441284375040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441284375040 is an abundant number, since it is smaller than the sum of its proper divisors (1014954848256).

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

441284375040 is a wasteful number, since it uses less digits than its factorization.

441284375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853570 (or 1853554 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 441284375040 in words is "four hundred forty-one billion, two hundred eighty-four million, three hundred seventy-five thousand, forty".