475905124128 has 384 divisors, whose sum is σ = 1600252416000. Its totient is φ = 123211984896.

The previous prime is 475905124117. The next prime is 475905124129. The reversal of 475905124128 is 821421509574.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (475905124129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14373000 + ... + 14406072.

It is an arithmetic number, because the mean of its divisors is an integer number (4167324000).

Almost surely, 2^475905124128 is an apocalyptic number.

475905124128 is a gapful number since it is divisible by the number (48) 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 475905124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800126208000).

475905124128 is an abundant number, since it is smaller than the sum of its proper divisors (1124347291872).

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

475905124128 is a wasteful number, since it uses less digits than its factorization.

475905124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33149 (or 33127 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 475905124128 in words is "four hundred seventy-five billion, nine hundred five million, one hundred twenty-four thousand, one hundred twenty-eight".