441412747776 has 2000 divisors, whose sum is σ = 1863946199808. Its totient is φ = 102419251200.

The previous prime is 441412747771. The next prime is 441412747813. The reversal of 441412747776 is 677747214144.

It is a happy number.

441412747776 is a `hidden beast` number, since 4 + 4 + 141 + 27 + 477 + 7 + 6 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441412747771) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 14239120881 + ... + 14239120911.

Almost surely, 2^441412747776 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 441412747776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931973099904).

441412747776 is an abundant number, since it is smaller than the sum of its proper divisors (1422533452032).

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

441412747776 is an equidigital number, since it uses as much as digits as its factorization.

441412747776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 67 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The spelling of 441412747776 in words is "four hundred forty-one billion, four hundred twelve million, seven hundred forty-seven thousand, seven hundred seventy-six".