406754529606656 has 704 divisors, whose sum is σ = 1038565699906560. Its totient is φ = 154658364456960.

The previous prime is 406754529606643. The next prime is 406754529606683. The reversal of 406754529606656 is 656606925457604.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 406754529606656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166907889470 + ... + 166907891906.

Almost surely, 2^{406754529606656} 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 406754529606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519282849953280).

406754529606656 is an abundant number, since it is smaller than the sum of its proper divisors (631811170299904).

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

406754529606656 is a wasteful number, since it uses less digits than its factorization.

406754529606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 1959552000, while the sum is 71.

The spelling of 406754529606656 in words is "four hundred six trillion, seven hundred fifty-four billion, five hundred twenty-nine million, six hundred six thousand, six hundred fifty-six".