472517181440 has 320 divisors, whose sum is σ = 1255672756800. Its totient is φ = 169785425920.

The previous prime is 472517181439. The next prime is 472517181443. The reversal of 472517181440 is 44181715274.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 472517181391 and 472517181400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472517181443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024982810 + ... + 1024983270.

It is an arithmetic number, because the mean of its divisors is an integer number (3923977365).

Almost surely, 2^472517181440 is an apocalyptic number.

472517181440 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 472517181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627836378400).

472517181440 is an abundant number, since it is smaller than the sum of its proper divisors (783155575360).

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

472517181440 is an frugal number, since it uses more digits than its factorization.

472517181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The spelling of 472517181440 in words is "four hundred seventy-two billion, five hundred seventeen million, one hundred eighty-one thousand, four hundred forty".