475541038080 has 528 divisors, whose sum is σ = 1795396515840. Its totient is φ = 119341449216.

The previous prime is 475541038067. The next prime is 475541038081. The reversal of 475541038080 is 80830145574.

475541038080 is a `hidden beast` number, since 4 + 7 + 554 + 10 + 3 + 8 + 0 + 80 = 666.

It is a super-2 number, since 2×475541038080² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (475541038081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39945409 + ... + 39957311.

Almost surely, 2^475541038080 is an apocalyptic number.

475541038080 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 475541038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897698257920).

475541038080 is an abundant number, since it is smaller than the sum of its proper divisors (1319855477760).

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

475541038080 is a wasteful number, since it uses less digits than its factorization.

475541038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 475541038080 in words is "four hundred seventy-five billion, five hundred forty-one million, thirty-eight thousand, eighty".