406020666000 has 320 divisors, whose sum is σ = 1319014434816. Its totient is φ = 107448768000.

The previous prime is 406020665971. The next prime is 406020666001. The reversal of 406020666000 is 666020604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (406020666001) 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 63 ways as a sum of consecutive naturals, for example, 826925755 + ... + 826926245.

Almost surely, 2^406020666000 is an apocalyptic number.

406020666000 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 406020666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659507217408).

406020666000 is an abundant number, since it is smaller than the sum of its proper divisors (912993768816).

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

406020666000 is a wasteful number, since it uses less digits than its factorization.

406020666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 406020666000 its reverse (666020604), we get a palindrome (406686686604).

The spelling of 406020666000 in words is "four hundred six billion, twenty million, six hundred sixty-six thousand".