406284966912 has 176 divisors, whose sum is σ = 1184113711872. Its totient is φ = 122827898880.

The previous prime is 406284966911. The next prime is 406284967027. The reversal of 406284966912 is 219669482604.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406284966911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14618053 + ... + 14645819.

Almost surely, 2^406284966912 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 406284966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592056855936).

406284966912 is an abundant number, since it is smaller than the sum of its proper divisors (777828744960).

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

406284966912 is a wasteful number, since it uses less digits than its factorization.

406284966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28234 (or 28216 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 406284966912 in words is "four hundred six billion, two hundred eighty-four million, nine hundred sixty-six thousand, nine hundred twelve".