406532266784 has 192 divisors, whose sum is σ = 988198154496. Its totient is φ = 160653901824.

The previous prime is 406532266771. The next prime is 406532266859. The reversal of 406532266784 is 487662235604.

It is a Harshad number since it is a multiple of its sum of digits (53).

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 31 ways as a sum of consecutive naturals, for example, 232702199 + ... + 232703945.

It is an arithmetic number, because the mean of its divisors is an integer number (5146865388).

Almost surely, 2^406532266784 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 406532266784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494099077248).

406532266784 is an abundant number, since it is smaller than the sum of its proper divisors (581665887712).

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

406532266784 is a wasteful number, since it uses less digits than its factorization.

406532266784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 53.

The spelling of 406532266784 in words is "four hundred six billion, five hundred thirty-two million, two hundred sixty-six thousand, seven hundred eighty-four".