475119590400 has 3168 divisors, whose sum is σ = 2341618126848. Its totient is φ = 89181388800.

The previous prime is 475119590377. The next prime is 475119590401. The reversal of 475119590400 is 4095911574.

475119590400 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 19 + 590 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475119590401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11049292779 + ... + 11049292821.

It is an arithmetic number, because the mean of its divisors is an integer number (739147136).

Almost surely, 2^475119590400 is an apocalyptic number.

475119590400 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 475119590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170809063424).

475119590400 is an abundant number, since it is smaller than the sum of its proper divisors (1866498536448).

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

475119590400 is a wasteful number, since it uses less digits than its factorization.

475119590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 475119590400 in words is "four hundred seventy-five billion, one hundred nineteen million, five hundred ninety thousand, four hundred".