3253145031040 has 256 divisors, whose sum is σ = 7956398534400. Its totient is φ = 1271660544000.

The previous prime is 3253145030921. The next prime is 3253145031053. The reversal of 3253145031040 is 401305413523.

3253145031040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3253145030993 and 3253145031011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4331750665 + ... + 4331751415.

It is an arithmetic number, because the mean of its divisors is an integer number (31079681775).

Almost surely, 2^{3253145031040} 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 3253145031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978199267200).

3253145031040 is an abundant number, since it is smaller than the sum of its proper divisors (4703253503360).

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

3253145031040 is a wasteful number, since it uses less digits than its factorization.

3253145031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 3253145031040 in words is "three trillion, two hundred fifty-three billion, one hundred forty-five million, thirty-one thousand, forty".