471364121128992 has 576 divisors, whose sum is σ = 1552493102307840. Its totient is φ = 124121096257536.

The previous prime is 471364121128969. The next prime is 471364121129071. The reversal of 471364121128992 is 299821121463174.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181783308048 + ... + 181783310640.

It is an arithmetic number, because the mean of its divisors is an integer number (2695300524840).

Almost surely, 2^{471364121128992} is an apocalyptic number.

471364121128992 is a gapful number since it is divisible by the number (42) 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 471364121128992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776246551153920).

471364121128992 is an abundant number, since it is smaller than the sum of its proper divisors (1081128981178848).

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

471364121128992 is a wasteful number, since it uses less digits than its factorization.

471364121128992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6130 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The spelling of 471364121128992 in words is "four hundred seventy-one trillion, three hundred sixty-four billion, one hundred twenty-one million, one hundred twenty-eight thousand, nine hundred ninety-two".