475428096000 has 2304 divisors, whose sum is σ = 2132330054400. Its totient is φ = 103514112000.

The previous prime is 475428095929. The next prime is 475428096023. The reversal of 475428096000 is 690824574.

It is a happy number.

475428096000 is a `hidden beast` number, since 47 + 542 + 8 + 0 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 12849407982 + ... + 12849408018.

It is an arithmetic number, because the mean of its divisors is an integer number (925490475).

Almost surely, 2^475428096000 is an apocalyptic number.

475428096000 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 475428096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066165027200).

475428096000 is an abundant number, since it is smaller than the sum of its proper divisors (1656901958400).

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

475428096000 is a wasteful number, since it uses less digits than its factorization.

475428096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 475428096000 in words is "four hundred seventy-five billion, four hundred twenty-eight million, ninety-six thousand".