472805887741200 has 1800 divisors, whose sum is σ = 1948261746189528. Its totient is φ = 109382327009280.

The previous prime is 472805887741153. The next prime is 472805887741237. The reversal of 472805887741200 is 2147788508274.

472805887741200 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 0 + 588 + 7 + 7 + 41 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 457903848121344 + 14902039619856 = 21398688^2 + 3860316^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 74188901214 + ... + 74188907586.

Almost surely, 2^{472805887741200} is an apocalyptic number.

472805887741200 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 472805887741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974130873094764).

472805887741200 is an abundant number, since it is smaller than the sum of its proper divisors (1475455858448328).

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

472805887741200 is a wasteful number, since it uses less digits than its factorization.

472805887741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 56197120, while the sum is 63.

The spelling of 472805887741200 in words is "four hundred seventy-two trillion, eight hundred five billion, eight hundred eighty-seven million, seven hundred forty-one thousand, two hundred".