475413551424 has 1008 divisors, whose sum is σ = 1707477408000. Its totient is φ = 130699505664.

The previous prime is 475413551387. The next prime is 475413551441. The reversal of 475413551424 is 424155314574.

It is a happy number.

475413551424 is a `hidden beast` number, since 4 + 7 + 54 + 1 + 3 + 551 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 475413551424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3190694902 + ... + 3190695050.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926000).

Almost surely, 2^475413551424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475413551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853738704000).

475413551424 is an abundant number, since it is smaller than the sum of its proper divisors (1232063856576).

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

475413551424 is a wasteful number, since it uses less digits than its factorization.

475413551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

Adding to 475413551424 its reverse (424155314574), we get a palindrome (899568865998).

The spelling of 475413551424 in words is "four hundred seventy-five billion, four hundred thirteen million, five hundred fifty-one thousand, four hundred twenty-four".