3261132444240 has 320 divisors, whose sum is σ = 12256495534080. Its totient is φ = 790413488640.

The previous prime is 3261132444217. The next prime is 3261132444259. The reversal of 3261132444240 is 424442311623.

3261132444240 is a `hidden beast` number, since 3 + 2 + 61 + 132 + 44 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3261132444195 and 3261132444204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145946509 + ... + 145968851.

It is an arithmetic number, because the mean of its divisors is an integer number (38301548544).

Almost surely, 2^{3261132444240} is an apocalyptic number.

3261132444240 is a gapful number since it is divisible by the number (30) 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 3261132444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128247767040).

3261132444240 is an abundant number, since it is smaller than the sum of its proper divisors (8995363089840).

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

3261132444240 is a wasteful number, since it uses less digits than its factorization.

3261132444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28519 (or 28507 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 3261132444240 its reverse (424442311623), we get a palindrome (3685574755863).

The spelling of 3261132444240 in words is "three trillion, two hundred sixty-one billion, one hundred thirty-two million, four hundred forty-four thousand, two hundred forty".