471126801600 has 2688 divisors, whose sum is σ = 2251989196800. Its totient is φ = 93162700800.

The previous prime is 471126801599. The next prime is 471126801601. The reversal of 471126801600 is 6108621174.

It is a happy number.

471126801600 is a `hidden beast` number, since 47 + 1 + 1 + 2 + 6 + 8 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (471126801599) and next prime (471126801601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (471126801601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5963630361 + ... + 5963630439.

It is an arithmetic number, because the mean of its divisors is an integer number (837793600).

Almost surely, 2^471126801600 is an apocalyptic number.

471126801600 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 471126801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125994598400).

471126801600 is an abundant number, since it is smaller than the sum of its proper divisors (1780862395200).

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

471126801600 is a wasteful number, since it uses less digits than its factorization.

471126801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 471126801600 in words is "four hundred seventy-one billion, one hundred twenty-six million, eight hundred one thousand, six hundred".