471209840640000 has 9600 divisors, whose sum is σ = 2439991385821440. Its totient is φ = 89181388800000.

The previous prime is 471209840639987. The next prime is 471209840640041. The reversal of 471209840640000 is 46048902174.

471209840640000 is a `hidden beast` number, since 47 + 120 + 9 + 84 + 0 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 15200317439985 + ... + 15200317440015.

Almost surely, 2^{471209840640000} is an apocalyptic number.

471209840640000 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 471209840640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219995692910720).

471209840640000 is an abundant number, since it is smaller than the sum of its proper divisors (1968781545181440).

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

471209840640000 is an equidigital number, since it uses as much as digits as its factorization.

471209840640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 471209840640000 in words is "four hundred seventy-one trillion, two hundred nine billion, eight hundred forty million, six hundred forty thousand".