441037472000 has 288 divisors, whose sum is σ = 1131380490240. Its totient is φ = 171227750400.

The previous prime is 441037471999. The next prime is 441037472009. The reversal of 441037472000 is 274730144.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (441037472009) 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 31 ways as a sum of consecutive naturals, for example, 191006846 + ... + 191009154.

It is an arithmetic number, because the mean of its divisors is an integer number (3928404480).

Almost surely, 2^441037472000 is an apocalyptic number.

441037472000 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 441037472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565690245120).

441037472000 is an abundant number, since it is smaller than the sum of its proper divisors (690343018240).

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

441037472000 is a wasteful number, since it uses less digits than its factorization.

441037472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The spelling of 441037472000 in words is "four hundred forty-one billion, thirty-seven million, four hundred seventy-two thousand".