445421210400000 has 1296 divisors, whose sum is σ = 1729024868450880. Its totient is φ = 109909094400000.

The previous prime is 445421210399987. The next prime is 445421210400037. The reversal of 445421210400000 is 4012124544.

445421210400000 is a `hidden beast` number, since 4 + 4 + 5 + 42 + 1 + 210 + 400 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5882362140 + ... + 5882437860.

Almost surely, 2^{445421210400000} is an apocalyptic number.

445421210400000 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 445421210400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864512434225440).

445421210400000 is an abundant number, since it is smaller than the sum of its proper divisors (1283603658050880).

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

445421210400000 is an equidigital number, since it uses as much as digits as its factorization.

445421210400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75830 (or 75793 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 445421210400000 its reverse (4012124544), we get a palindrome (445425222524544).

The spelling of 445421210400000 in words is "four hundred forty-five trillion, four hundred twenty-one billion, two hundred ten million, four hundred thousand".