406219162865880 has 512 divisors, whose sum is σ = 1549010005401600. Its totient is φ = 82941681106944.

The previous prime is 406219162865843. The next prime is 406219162865921. The reversal of 406219162865880 is 88568261912604.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 41231844 + ... + 50124876.

It is an arithmetic number, because the mean of its divisors is an integer number (3025410166800).

Almost surely, 2^{406219162865880} is an apocalyptic number.

406219162865880 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 406219162865880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774505002700800).

406219162865880 is an abundant number, since it is smaller than the sum of its proper divisors (1142790842535720).

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

406219162865880 is a wasteful number, since it uses less digits than its factorization.

406219162865880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893203 (or 8893199 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 406219162865880 in words is "four hundred six trillion, two hundred nineteen billion, one hundred sixty-two million, eight hundred sixty-five thousand, eight hundred eighty".