656404211040 has 96 divisors (see below), whose sum is σ = 2068018718976. Its totient is φ = 175011878400.

The previous prime is 656404210993. The next prime is 656404211041. The reversal of 656404211040 is 40112404656.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 656404210992 and 656404211010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656404211041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2841319 + ... + 3063641.

It is an arithmetic number, because the mean of its divisors is an integer number (21541861656).

Almost surely, 2^656404211040 is an apocalyptic number.

656404211040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

656404211040 is an abundant number, since it is smaller than the sum of its proper divisors (1411614507936).

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

656404211040 is a wasteful number, since it uses less digits than its factorization.

656404211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228492 (or 228484 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 656404211040 its reverse (40112404656), we get a palindrome (696516615696).

The spelling of 656404211040 in words is "six hundred fifty-six billion, four hundred four million, two hundred eleven thousand, forty".