473017107241728 has 1008 divisors, whose sum is σ = 1659753370128000. Its totient is φ = 132843629463552.

The previous prime is 473017107241699. The next prime is 473017107241739. The reversal of 473017107241728 is 827142701710374.

473017107241728 is a `hidden beast` number, since 4 + 7 + 30 + 171 + 0 + 7 + 2 + 417 + 28 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47978198463 + ... + 47978208321.

Almost surely, 2^{473017107241728} is an apocalyptic number.

473017107241728 is a gapful number since it is divisible by the number (48) 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 473017107241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829876685064000).

473017107241728 is an abundant number, since it is smaller than the sum of its proper divisors (1186736262886272).

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

473017107241728 is an frugal number, since it uses more digits than its factorization.

473017107241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 473017107241728 in words is "four hundred seventy-three trillion, seventeen billion, one hundred seven million, two hundred forty-one thousand, seven hundred twenty-eight".