406774277550 has 144 divisors (see below), whose sum is σ = 1098716374080. Its totient is φ = 107893585920.

The previous prime is 406774277549. The next prime is 406774277617. The reversal of 406774277550 is 55772477604.

406774277550 is a `hidden beast` number, since 4 + 0 + 67 + 7 + 4 + 27 + 7 + 550 = 666.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 155910646 + ... + 155913254.

It is an arithmetic number, because the mean of its divisors is an integer number (7629974820).

Almost surely, 2^406774277550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406774277550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549358187040).

406774277550 is an abundant number, since it is smaller than the sum of its proper divisors (691942096530).

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

406774277550 is a wasteful number, since it uses less digits than its factorization.

406774277550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 54.

The spelling of 406774277550 in words is "four hundred six billion, seven hundred seventy-four million, two hundred seventy-seven thousand, five hundred fifty".