441388122816 has 112 divisors (see below), whose sum is σ = 1188020666880. Its totient is φ = 144588487680.

The previous prime is 441388122803. The next prime is 441388122829. The reversal of 441388122816 is 618221883144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (441388122803) and next prime (441388122829).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 58528006 + ... + 58535546.

Almost surely, 2^441388122816 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 441388122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594010333440).

441388122816 is an abundant number, since it is smaller than the sum of its proper divisors (746632544064).

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

441388122816 is a wasteful number, since it uses less digits than its factorization.

441388122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12772 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The spelling of 441388122816 in words is "four hundred forty-one billion, three hundred eighty-eight million, one hundred twenty-two thousand, eight hundred sixteen".