406566799488 has 384 divisors, whose sum is σ = 1227707120640. Its totient is φ = 128994508800.

The previous prime is 406566799481. The next prime is 406566799489. The reversal of 406566799488 is 884997665604.

406566799488 is a `hidden beast` number, since 4 + 0 + 6 + 56 + 6 + 7 + 99 + 488 = 666.

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 (72).

It is not an unprimeable number, because it can be changed into a prime (406566799481) 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, 834839181 + ... + 834839667.

It is an arithmetic number, because the mean of its divisors is an integer number (3197153960).

Almost surely, 2^406566799488 is an apocalyptic number.

406566799488 is a gapful number since it is divisible by the number (48) 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 406566799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613853560320).

406566799488 is an abundant number, since it is smaller than the sum of its proper divisors (821140321152).

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

406566799488 is a wasteful number, since it uses less digits than its factorization.

406566799488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 406566799488 in words is "four hundred six billion, five hundred sixty-six million, seven hundred ninety-nine thousand, four hundred eighty-eight".