406455664000 has 128 divisors (see below), whose sum is σ = 1011246743520. Its totient is φ = 162470246400.

The previous prime is 406455663989. The next prime is 406455664007. The reversal of 406455664000 is 466554604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406455664007) 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, 25544047 + ... + 25559953.

Almost surely, 2^406455664000 is an apocalyptic number.

406455664000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406455664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505623371760).

406455664000 is an abundant number, since it is smaller than the sum of its proper divisors (604791079520).

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

406455664000 is a wasteful number, since it uses less digits than its factorization.

406455664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17533 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 406455664000 in words is "four hundred six billion, four hundred fifty-five million, six hundred sixty-four thousand".