406882249721344 has 160 divisors (see below), whose sum is σ = 843499216907424. Its totient is φ = 195954629345280.

The previous prime is 406882249721303. The next prime is 406882249721347. The reversal of 406882249721344 is 443127942288604.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406882249721347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865484812 + ... + 865954804.

Almost surely, 2^{406882249721344} 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 406882249721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421749608453712).

406882249721344 is an abundant number, since it is smaller than the sum of its proper divisors (436616967186080).

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

406882249721344 is an equidigital number, since it uses as much as digits as its factorization.

406882249721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470648 (or 470632 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 64.

The spelling of 406882249721344 in words is "four hundred six trillion, eight hundred eighty-two billion, two hundred forty-nine million, seven hundred twenty-one thousand, three hundred forty-four".