471234085171200 has 3744 divisors, whose sum is σ = 1967679900426240. Its totient is φ = 110986238361600.

The previous prime is 471234085171111. The next prime is 471234085171273. The reversal of 471234085171200 is 2171580432174.

It is a happy number.

471234085171200 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 3 + 4 + 0 + 8 + 517 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 1791764582269 + ... + 1791764582531.

It is an arithmetic number, because the mean of its divisors is an integer number (525555528960).

Almost surely, 2^{471234085171200} is an apocalyptic number.

471234085171200 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 471234085171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983839950213120).

471234085171200 is an abundant number, since it is smaller than the sum of its proper divisors (1496445815255040).

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

471234085171200 is a wasteful number, since it uses less digits than its factorization.

471234085171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 471234085171200 in words is "four hundred seventy-one trillion, two hundred thirty-four billion, eighty-five million, one hundred seventy-one thousand, two hundred".