441362424434456 has 256 divisors, whose sum is σ = 1056417867187200. Its totient is φ = 168290628009984.

The previous prime is 441362424434447. The next prime is 441362424434497. The reversal of 441362424434456 is 654434424263144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30112732280 + ... + 30112746936.

It is an arithmetic number, because the mean of its divisors is an integer number (4126632293700).

Almost surely, 2^{441362424434456} 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 441362424434456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528208933593600).

441362424434456 is an abundant number, since it is smaller than the sum of its proper divisors (615055442752744).

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

441362424434456 is a wasteful number, since it uses less digits than its factorization.

441362424434456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18226 (or 18222 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 56.

The spelling of 441362424434456 in words is "four hundred forty-one trillion, three hundred sixty-two billion, four hundred twenty-four million, four hundred thirty-four thousand, four hundred fifty-six".