472222094400 has 1008 divisors, whose sum is σ = 2030370742400. Its totient is φ = 107905996800.

The previous prime is 472222094389. The next prime is 472222094401. The reversal of 472222094400 is 4490222274.

472222094400 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 2 + 209 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×472222094400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (472222094401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133356630 + ... + 133360170.

Almost surely, 2^472222094400 is an apocalyptic number.

472222094400 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 472222094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015185371200).

472222094400 is an abundant number, since it is smaller than the sum of its proper divisors (1558148648000).

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

472222094400 is an equidigital number, since it uses as much as digits as its factorization.

472222094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 472222094400 in words is "four hundred seventy-two billion, two hundred twenty-two million, ninety-four thousand, four hundred".