475042129920 has 768 divisors, whose sum is σ = 1743565824000. Its totient is φ = 122622640128.

The previous prime is 475042129909. The next prime is 475042129921. The reversal of 475042129920 is 29921240574.

475042129920 is a `hidden beast` number, since 47 + 504 + 2 + 12 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (475042129921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1806243709 + ... + 1806243971.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268000).

Almost surely, 2^475042129920 is an apocalyptic number.

475042129920 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 475042129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912000).

475042129920 is an abundant number, since it is smaller than the sum of its proper divisors (1268523694080).

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

475042129920 is a wasteful number, since it uses less digits than its factorization.

475042129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 475042129920 in words is "four hundred seventy-five billion, forty-two million, one hundred twenty-nine thousand, nine hundred twenty".