475565126400 has 2160 divisors, whose sum is σ = 2295328964544. Its totient is φ = 94277468160.

The previous prime is 475565126371. The next prime is 475565126401. The reversal of 475565126400 is 4621565574.

475565126400 is a `hidden beast` number, since 4 + 7 + 556 + 51 + 2 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (475565126401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 801964504 + ... + 801965096.

Almost surely, 2^475565126400 is an apocalyptic number.

475565126400 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 475565126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147664482272).

475565126400 is an abundant number, since it is smaller than the sum of its proper divisors (1819763838144).

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

475565126400 is a wasteful number, since it uses less digits than its factorization.

475565126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 475565126400 in words is "four hundred seventy-five billion, five hundred sixty-five million, one hundred twenty-six thousand, four hundred".