472743561217040 has 160 divisors (see below), whose sum is σ = 1108135414841856. Its totient is φ = 187552043827200.

The previous prime is 472743561216947. The next prime is 472743561217049. The reversal of 472743561217040 is 40712165347274.

It is not an unprimeable number, because it can be changed into a prime (472743561217049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21491263322 + ... + 21491285318.

Almost surely, 2^{472743561217040} is an apocalyptic number.

472743561217040 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 472743561217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554067707420928).

472743561217040 is an abundant number, since it is smaller than the sum of its proper divisors (635391853624816).

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

472743561217040 is a wasteful number, since it uses less digits than its factorization.

472743561217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24857 (or 24851 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 53.

The spelling of 472743561217040 in words is "four hundred seventy-two trillion, seven hundred forty-three billion, five hundred sixty-one million, two hundred seventeen thousand, forty".