475066583040 has 384 divisors, whose sum is σ = 1839150593280. Its totient is φ = 102198411264.

The previous prime is 475066583009. The next prime is 475066583051. The reversal of 475066583040 is 40385660574.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3590704 + ... + 3720656.

It is an arithmetic number, because the mean of its divisors is an integer number (4789454670).

Almost surely, 2^475066583040 is an apocalyptic number.

475066583040 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 475066583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919575296640).

475066583040 is an abundant number, since it is smaller than the sum of its proper divisors (1364084010240).

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

475066583040 is a wasteful number, since it uses less digits than its factorization.

475066583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130007 (or 129987 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 475066583040 in words is "four hundred seventy-five billion, sixty-six million, five hundred eighty-three thousand, forty".