445231987200 has 3240 divisors, whose sum is σ = 2247664202784. Its totient is φ = 85399142400.

The previous prime is 445231987159. The next prime is 445231987229. The reversal of 445231987200 is 2789132544.

445231987200 is a `hidden beast` number, since 4 + 4 + 52 + 319 + 87 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 34248614394 + ... + 34248614406.

Almost surely, 2^445231987200 is an apocalyptic number.

445231987200 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 445231987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123832101392).

445231987200 is an abundant number, since it is smaller than the sum of its proper divisors (1802432215584).

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

445231987200 is a wasteful number, since it uses less digits than its factorization.

445231987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 445231987200 in words is "four hundred forty-five billion, two hundred thirty-one million, nine hundred eighty-seven thousand, two hundred".