3260913431040 has 640 divisors, whose sum is σ = 12660158269440. Its totient is φ = 792015667200.

The previous prime is 3260913430961. The next prime is 3260913431047. The reversal of 3260913431040 is 401343190623.

3260913431040 is a `hidden beast` number, since 3 + 2 + 609 + 1 + 3 + 4 + 3 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 3260913430986 and 3260913431004.

It is not an unprimeable number, because it can be changed into a prime (3260913431047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36381480 + ... + 36471000.

It is an arithmetic number, because the mean of its divisors is an integer number (19781497296).

Almost surely, 2^{3260913431040} is an apocalyptic number.

3260913431040 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 3260913431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330079134720).

3260913431040 is an abundant number, since it is smaller than the sum of its proper divisors (9399244838400).

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

3260913431040 is a wasteful number, since it uses less digits than its factorization.

3260913431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89601 (or 89579 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3260913431040 in words is "three trillion, two hundred sixty billion, nine hundred thirteen million, four hundred thirty-one thousand, forty".