441074434000 has 80 divisors (see below), whose sum is σ = 1069883929296. Its totient is φ = 175872960000.

The previous prime is 441074433979. The next prime is 441074434001. The reversal of 441074434000 is 434470144.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 194848085056 + 246226348944 = 441416^2 + 496212^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441074434001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286150 + ... + 981850.

Almost surely, 2^441074434000 is an apocalyptic number.

441074434000 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 441074434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534941964648).

441074434000 is an abundant number, since it is smaller than the sum of its proper divisors (628809495296).

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

441074434000 is a wasteful number, since it uses less digits than its factorization.

441074434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696041 (or 696025 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The spelling of 441074434000 in words is "four hundred forty-one billion, seventy-four million, four hundred thirty-four thousand".