445210214400 has 1440 divisors, whose sum is σ = 1919087170560. Its totient is φ = 100329062400.

The previous prime is 445210214399. The next prime is 445210214429. The reversal of 445210214400 is 4412012544.

445210214400 is a `hidden beast` number, since 4 + 4 + 5 + 210 + 2 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 6270566365 + ... + 6270566435.

It is an arithmetic number, because the mean of its divisors is an integer number (1332699424).

Almost surely, 2^445210214400 is an apocalyptic number.

445210214400 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 445210214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959543585280).

445210214400 is an abundant number, since it is smaller than the sum of its proper divisors (1473876956160).

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

445210214400 is an frugal number, since it uses more digits than its factorization.

445210214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

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

Adding to 445210214400 its reverse (4412012544), we get a palindrome (449622226944).

The spelling of 445210214400 in words is "four hundred forty-five billion, two hundred ten million, two hundred fourteen thousand, four hundred".