1446221905920 has 816 divisors, whose sum is σ = 5532978765600. Its totient is φ = 346533396480.

The previous prime is 1446221905867. The next prime is 1446221905963. The reversal of 1446221905920 is 295091226441.

1446221905920 is a `hidden beast` number, since 1 + 4 + 4 + 622 + 19 + 0 + 5 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3535994676 + ... + 3535995084.

Almost surely, 2^{1446221905920} is an apocalyptic number.

1446221905920 is a gapful number since it is divisible by the number (10) 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 1446221905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766489382800).

1446221905920 is an abundant number, since it is smaller than the sum of its proper divisors (4086756859680).

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

1446221905920 is a wasteful number, since it uses less digits than its factorization.

1446221905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1446221905920 in words is "one trillion, four hundred forty-six billion, two hundred twenty-one million, nine hundred five thousand, nine hundred twenty".