406003006032 has 80 divisors (see below), whose sum is σ = 1131042691968. Its totient is φ = 124755724800.

The previous prime is 406003005977. The next prime is 406003006069. The reversal of 406003006032 is 230600300604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 406003005993 and 406003006011.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25782 + ... + 901482.

Almost surely, 2^406003006032 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 406003006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565521345984).

406003006032 is an abundant number, since it is smaller than the sum of its proper divisors (725039685936).

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

406003006032 is a wasteful number, since it uses less digits than its factorization.

406003006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876468 (or 876462 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 406003006032 its reverse (230600300604), we get a palindrome (636603306636).

The spelling of 406003006032 in words is "four hundred six billion, three million, six thousand, thirty-two".