406530020512 has 96 divisors (see below), whose sum is σ = 998159428224. Its totient is φ = 158338636800.

The previous prime is 406530020461. The next prime is 406530020539. The reversal of 406530020512 is 215020035604.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 8385462 + ... + 8433802.

It is an arithmetic number, because the mean of its divisors is an integer number (10397494044).

Almost surely, 2^406530020512 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 406530020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499079714112).

406530020512 is an abundant number, since it is smaller than the sum of its proper divisors (591629407712).

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

406530020512 is a wasteful number, since it uses less digits than its factorization.

406530020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51782 (or 51774 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 406530020512 in words is "four hundred six billion, five hundred thirty million, twenty thousand, five hundred twelve".