441488226816 has 1600 divisors, whose sum is σ = 1756807557120. Its totient is φ = 107137105920.

The previous prime is 441488226791. The next prime is 441488226847. The reversal of 441488226816 is 618622884144.

441488226816 is a `hidden beast` number, since 441 + 48 + 82 + 2 + 6 + 81 + 6 = 666.

It is a super-2 number, since 2×441488226816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3370139071 + ... + 3370139201.

Almost surely, 2^441488226816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441488226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878403778560).

441488226816 is an abundant number, since it is smaller than the sum of its proper divisors (1315319330304).

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

441488226816 is a wasteful number, since it uses less digits than its factorization.

441488226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 441488226816 in words is "four hundred forty-one billion, four hundred eighty-eight million, two hundred twenty-six thousand, eight hundred sixteen".