400466000664 has 24 divisors (see below), whose sum is σ = 1084595418660. Its totient is φ = 133488666864.

The previous prime is 400466000659. The next prime is 400466000677. The reversal of 400466000664 is 466000664004.

It is a happy number.

400466000664 is a `hidden beast` number, since 4 + 0 + 0 + 46 + 600 + 0 + 6 + 6 + 4 = 666.

400466000664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×400466000664³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2781013822 + ... + 2781013965.

Almost surely, 2^400466000664 is an apocalyptic number.

It is an amenable number.

400466000664 is an abundant number, since it is smaller than the sum of its proper divisors (684129417996).

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

400466000664 is a wasteful number, since it uses less digits than its factorization.

400466000664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562027799 (or 5562027792 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 400466000664 its reverse (466000664004), we get a palindrome (866466664668).

The spelling of 400466000664 in words is "four hundred billion, four hundred sixty-six million, six hundred sixty-four", and thus it is an aban number.