475335527040 has 1152 divisors, whose sum is σ = 1912325163840. Its totient is φ = 111974400000.

The previous prime is 475335527039. The next prime is 475335527053. The reversal of 475335527040 is 40725533574.

475335527040 is a `hidden beast` number, since 4 + 7 + 5 + 335 + 5 + 270 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1893766915 + ... + 1893767165.

Almost surely, 2^475335527040 is an apocalyptic number.

475335527040 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 475335527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956162581920).

475335527040 is an abundant number, since it is smaller than the sum of its proper divisors (1436989636800).

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

475335527040 is an equidigital number, since it uses as much as digits as its factorization.

475335527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 475335527040 in words is "four hundred seventy-five billion, three hundred thirty-five million, five hundred twenty-seven thousand, forty".