475428381120 has 1792 divisors, whose sum is σ = 2238240522240. Its totient is φ = 91968307200.

The previous prime is 475428381101. The next prime is 475428381133. The reversal of 475428381120 is 21183824574.

475428381120 is a `hidden beast` number, since 4 + 7 + 542 + 8 + 3 + 81 + 1 + 20 = 666.

475428381120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1436339355 + ... + 1436339685.

Almost surely, 2^475428381120 is an apocalyptic number.

475428381120 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 475428381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119120261120).

475428381120 is an abundant number, since it is smaller than the sum of its proper divisors (1762812141120).

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

475428381120 is a wasteful number, since it uses less digits than its factorization.

475428381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 475428381120 in words is "four hundred seventy-five billion, four hundred twenty-eight million, three hundred eighty-one thousand, one hundred twenty".