446304423040 has 128 divisors (see below), whose sum is σ = 1219620136320. Its totient is φ = 152986951680.

The previous prime is 446304423031. The next prime is 446304423041. The reversal of 446304423040 is 40324403644.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 446304422987 and 446304423005.

It is not an unprimeable number, because it can be changed into a prime (446304423041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34449204 + ... + 34462156.

It is an arithmetic number, because the mean of its divisors is an integer number (9528282315).

Almost surely, 2^446304423040 is an apocalyptic number.

446304423040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446304423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609810068160).

446304423040 is an abundant number, since it is smaller than the sum of its proper divisors (773315713280).

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

446304423040 is a wasteful number, since it uses less digits than its factorization.

446304423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20670 (or 20658 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 446304423040 its reverse (40324403644), we get a palindrome (486628826684).

The spelling of 446304423040 in words is "four hundred forty-six billion, three hundred four million, four hundred twenty-three thousand, forty".