406778548338 has 18 divisors (see below), whose sum is σ = 881359384269. Its totient is φ = 135591947472.

The previous prime is 406778548331. The next prime is 406778548441. The reversal of 406778548338 is 833845877604.

406778548338 is a `hidden beast` number, since 4 + 0 + 6 + 77 + 85 + 483 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349249086729 + 57529461609 = 590973^2 + 239853^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=450987.

It is not an unprimeable number, because it can be changed into a prime (406778548331) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2630758 + ... + 2781086.

Almost surely, 2^406778548338 is an apocalyptic number.

406778548338 is an abundant number, since it is smaller than the sum of its proper divisors (474580835931).

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

406778548338 is an frugal number, since it uses more digits than its factorization.

406778548338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300666 (or 150334 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 406778548338 in words is "four hundred six billion, seven hundred seventy-eight million, five hundred forty-eight thousand, three hundred thirty-eight".