406227224380032 has 1920 divisors, whose sum is σ = 1448848914321600. Its totient is φ = 111700525547520.

The previous prime is 406227224380001. The next prime is 406227224380039. The reversal of 406227224380032 is 230083422722604.

It is a happy number.

406227224380032 is a `hidden beast` number, since 4 + 0 + 62 + 272 + 243 + 80 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 406227224380032.

It is not an unprimeable number, because it can be changed into a prime (406227224380039) 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 239 ways as a sum of consecutive naturals, for example, 212350874308 + ... + 212350876220.

Almost surely, 2^{406227224380032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406227224380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724424457160800).

406227224380032 is an abundant number, since it is smaller than the sum of its proper divisors (1042621689941568).

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

406227224380032 is a wasteful number, since it uses less digits than its factorization.

406227224380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 406227224380032 in words is "four hundred six trillion, two hundred twenty-seven billion, two hundred twenty-four million, three hundred eighty thousand, thirty-two".