441550962000 has 480 divisors, whose sum is σ = 1638885774240. Its totient is φ = 110798438400.

The previous prime is 441550961987. The next prime is 441550962053. The reversal of 441550962000 is 269055144.

441550962000 is a `hidden beast` number, since 4 + 41 + 550 + 9 + 62 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 322592192784 + 118958769216 = 567972^2 + 344904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88431504 + ... + 88436496.

It is an arithmetic number, because the mean of its divisors is an integer number (3414345363).

Almost surely, 2^441550962000 is an apocalyptic number.

441550962000 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 441550962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819442887120).

441550962000 is an abundant number, since it is smaller than the sum of its proper divisors (1197334812240).

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

441550962000 is a wasteful number, since it uses less digits than its factorization.

441550962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 441550962000 in words is "four hundred forty-one billion, five hundred fifty million, nine hundred sixty-two thousand".