321260843291904 has 288 divisors, whose sum is σ = 1000224041600000. Its totient is φ = 101430715815936.

The previous prime is 321260843291903. The next prime is 321260843291917. The reversal of 321260843291904 is 409192348062123.

It is a happy number.

321260843291904 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 608 + 4 + 3 + 29 + 1 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321260843291903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670452597 + ... + 670931595.

Almost surely, 2^{321260843291904} 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 321260843291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500112020800000).

321260843291904 is an abundant number, since it is smaller than the sum of its proper divisors (678963198308096).

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

321260843291904 is a wasteful number, since it uses less digits than its factorization.

321260843291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484150 (or 484130 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 321260843291904 in words is "three hundred twenty-one trillion, two hundred sixty billion, eight hundred forty-three million, two hundred ninety-one thousand, nine hundred four".