446056038400 has 816 divisors, whose sum is σ = 1404242265600. Its totient is φ = 137027911680.

The previous prime is 446056038361. The next prime is 446056038431. The reversal of 446056038400 is 4830650644.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5011865556 + ... + 5011865644.

Almost surely, 2^446056038400 is an apocalyptic number.

446056038400 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 446056038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702121132800).

446056038400 is an abundant number, since it is smaller than the sum of its proper divisors (958186227200).

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

446056038400 is an equidigital number, since it uses as much as digits as its factorization.

446056038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 446056038400 in words is "four hundred forty-six billion, fifty-six million, thirty-eight thousand, four hundred".