406151773056 has 192 divisors, whose sum is σ = 1239281456400. Its totient is φ = 127236096000.

The previous prime is 406151772989. The next prime is 406151773099. The reversal of 406151773056 is 650377151604.

406151773056 is a `hidden beast` number, since 4 + 0 + 61 + 517 + 73 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13870431 + ... + 13899681.

Almost surely, 2^406151773056 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 406151773056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619640728200).

406151773056 is an abundant number, since it is smaller than the sum of its proper divisors (833129683344).

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

406151773056 is a wasteful number, since it uses less digits than its factorization.

406151773056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29997 (or 29982 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 406151773056 in words is "four hundred six billion, one hundred fifty-one million, seven hundred seventy-three thousand, fifty-six".