4473933004800 has 1890 divisors, whose sum is σ = 19728964809708. Its totient is φ = 998831554560.

The previous prime is 4473933004777. The next prime is 4473933004811. The reversal of 4473933004800 is 84003393744.

It is a tau number, because it is divible by the number of its divisors (1890).

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 89 ways as a sum of consecutive naturals, for example, 104044953579 + ... + 104044953621.

Almost surely, 2^{4473933004800} is an apocalyptic number.

4473933004800 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 4473933004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864482404854).

4473933004800 is an abundant number, since it is smaller than the sum of its proper divisors (15255031804908).

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

4473933004800 is an frugal number, since it uses more digits than its factorization.

4473933004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4473933004800 in words is "four trillion, four hundred seventy-three billion, nine hundred thirty-three million, four thousand, eight hundred".