475940044800 has 1080 divisors, whose sum is σ = 1894562250672. Its totient is φ = 114189926400.

The previous prime is 475940044759. The next prime is 475940044813. The reversal of 475940044800 is 8440049574.

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 71 ways as a sum of consecutive naturals, for example, 4906598352 + ... + 4906598448.

Almost surely, 2^475940044800 is an apocalyptic number.

475940044800 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 475940044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947281125336).

475940044800 is an abundant number, since it is smaller than the sum of its proper divisors (1418622205872).

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

475940044800 is an equidigital number, since it uses as much as digits as its factorization.

475940044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 475940044800 in words is "four hundred seventy-five billion, nine hundred forty million, forty-four thousand, eight hundred".