4473330892800 has 1728 divisors, whose sum is σ = 18974581330320. Its totient is φ = 926495539200.

The previous prime is 4473330892781. The next prime is 4473330892801. The reversal of 4473330892800 is 82980333744.

It is not an unprimeable number, because it can be changed into a prime (4473330892801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14571110247 + ... + 14571110553.

Almost surely, 2^{4473330892800} is an apocalyptic number.

4473330892800 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 4473330892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487290665160).

4473330892800 is an abundant number, since it is smaller than the sum of its proper divisors (14501250437520).

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

4473330892800 is a wasteful number, since it uses less digits than its factorization.

4473330892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 4473330892800 in words is "four trillion, four hundred seventy-three billion, three hundred thirty million, eight hundred ninety-two thousand, eight hundred".