406595678080 has 128 divisors (see below), whose sum is σ = 1017751936320. Its totient is φ = 155034451968.

The previous prime is 406595678063. The next prime is 406595678081. The reversal of 406595678080 is 80876595604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406595678081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4265824 + ... + 4360096.

Almost surely, 2^406595678080 is an apocalyptic number.

406595678080 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 406595678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508875968160).

406595678080 is an abundant number, since it is smaller than the sum of its proper divisors (611156258240).

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

406595678080 is a wasteful number, since it uses less digits than its factorization.

406595678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94608 (or 94596 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 406595678080 in words is "four hundred six billion, five hundred ninety-five million, six hundred seventy-eight thousand, eighty".