406746225216 has 560 divisors, whose sum is σ = 1322766772800. Its totient is φ = 123091218432.

The previous prime is 406746225191. The next prime is 406746225239. The reversal of 406746225216 is 612522647604.

406746225216 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 4 + 622 + 5 + 2 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448451835 + ... + 448452741.

Almost surely, 2^406746225216 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 406746225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661383386400).

406746225216 is an abundant number, since it is smaller than the sum of its proper divisors (916020547584).

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

406746225216 is a wasteful number, since it uses less digits than its factorization.

406746225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 406746225216 in words is "four hundred six billion, seven hundred forty-six million, two hundred twenty-five thousand, two hundred sixteen".