406694488824864 has 216 divisors, whose sum is σ = 1228820318264448. Its totient is φ = 127564527974400.

The previous prime is 406694488824863. The next prime is 406694488824917. The reversal of 406694488824864 is 468428884496604.

406694488824864 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 94 + 48 + 8 + 8 + 2 + 486 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (406694488824863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411588169 + ... + 412575095.

It is an arithmetic number, because the mean of its divisors is an integer number (5688982954928).

Almost surely, 2^{406694488824864} 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 406694488824864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614410159132224).

406694488824864 is an abundant number, since it is smaller than the sum of its proper divisors (822125829439584).

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

406694488824864 is a wasteful number, since it uses less digits than its factorization.

406694488824864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991928 (or 991900 counting only the distinct ones).

The product of its (nonzero) digits is 16307453952, while the sum is 81.

The spelling of 406694488824864 in words is "four hundred six trillion, six hundred ninety-four billion, four hundred eighty-eight million, eight hundred twenty-four thousand, eight hundred sixty-four".