441432114466420 has 288 divisors, whose sum is σ = 1198910505461760. Its totient is φ = 134979980002560.

The previous prime is 441432114466367. The next prime is 441432114466433. The reversal of 441432114466420 is 24664411234144.

It is a happy number.

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, 116948601 + ... + 120664159.

It is an arithmetic number, because the mean of its divisors is an integer number (4162883699520).

Almost surely, 2^{441432114466420} 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 441432114466420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599455252730880).

441432114466420 is an abundant number, since it is smaller than the sum of its proper divisors (757478390995340).

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

441432114466420 is a wasteful number, since it uses less digits than its factorization.

441432114466420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715803 (or 3715794 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 46.

The spelling of 441432114466420 in words is "four hundred forty-one trillion, four hundred thirty-two billion, one hundred fourteen million, four hundred sixty-six thousand, four hundred twenty".