321412441040 has 80 divisors (see below), whose sum is σ = 769233922128. Its totient is φ = 124838658048.

The previous prime is 321412441013. The next prime is 321412441061. The reversal of 321412441040 is 40144214123.

It can be written as a sum of positive squares in 8 ways, for example, as 26962953616 + 294449487424 = 164204^2 + 542632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 20534 + ... + 802026.

Almost surely, 2^321412441040 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 321412441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384616961064).

321412441040 is an abundant number, since it is smaller than the sum of its proper divisors (447821481088).

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

321412441040 is a wasteful number, since it uses less digits than its factorization.

321412441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781656 (or 781650 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 321412441040 its reverse (40144214123), we get a palindrome (361556655163).

The spelling of 321412441040 in words is "three hundred twenty-one billion, four hundred twelve million, four hundred forty-one thousand, forty".