406774390344192 has 1920 divisors, whose sum is σ = 1446125548707840. Its totient is φ = 113018538885120.

The previous prime is 406774390344169. The next prime is 406774390344199. The reversal of 406774390344192 is 291443093477604.

It is a happy number.

406774390344192 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 7 + 439 + 0 + 3 + 4 + 4 + 192 = 666.

It is not an unprimeable number, because it can be changed into a prime (406774390344199) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63827768718 + ... + 63827775090.

It is an arithmetic number, because the mean of its divisors is an integer number (753190389952).

Almost surely, 2^{406774390344192} 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 406774390344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723062774353920).

406774390344192 is an abundant number, since it is smaller than the sum of its proper divisors (1039351158363648).

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

406774390344192 is a wasteful number, since it uses less digits than its factorization.

406774390344192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 406774390344192 in words is "four hundred six trillion, seven hundred seventy-four billion, three hundred ninety million, three hundred forty-four thousand, one hundred ninety-two".