406865128032 has 480 divisors, whose sum is σ = 1330066894464. Its totient is φ = 120982118400.

The previous prime is 406865128001. The next prime is 406865128051. The reversal of 406865128032 is 230821568604.

406865128032 is a `hidden beast` number, since 40 + 68 + 6 + 512 + 8 + 0 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 362301423 + ... + 362302545.

Almost surely, 2^406865128032 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 406865128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665033447232).

406865128032 is an abundant number, since it is smaller than the sum of its proper divisors (923201766432).

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

406865128032 is a wasteful number, since it uses less digits than its factorization.

406865128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 406865128032 in words is "four hundred six billion, eight hundred sixty-five million, one hundred twenty-eight thousand, thirty-two".