473121814147200 has 1920 divisors, whose sum is σ = 1816432195184640. Its totient is φ = 121688179200000.

The previous prime is 473121814147193. The next prime is 473121814147223. The reversal of 473121814147200 is 2741418121374.

473121814147200 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 21 + 8 + 1 + 414 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 210182946075 + ... + 210182948325.

It is an arithmetic number, because the mean of its divisors is an integer number (946058434992).

Almost surely, 2^{473121814147200} is an apocalyptic number.

473121814147200 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 473121814147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908216097592320).

473121814147200 is an abundant number, since it is smaller than the sum of its proper divisors (1343310381037440).

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

473121814147200 is an frugal number, since it uses more digits than its factorization.

473121814147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 473121814147200 in words is "four hundred seventy-three trillion, one hundred twenty-one billion, eight hundred fourteen million, one hundred forty-seven thousand, two hundred".