3040252153344 has 480 divisors, whose sum is σ = 10216410107904. Its totient is φ = 852425441280.

The previous prime is 3040252153343. The next prime is 3040252153349. The reversal of 3040252153344 is 4433512520403.

3040252153344 is a `hidden beast` number, since 3 + 0 + 40 + 2 + 521 + 53 + 3 + 44 = 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 = 3040252153299 and 3040252153308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040252153343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510706272 + ... + 510712224.

Almost surely, 2^{3040252153344} 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 3040252153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108205053952).

3040252153344 is an abundant number, since it is smaller than the sum of its proper divisors (7176157954560).

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

3040252153344 is a wasteful number, since it uses less digits than its factorization.

3040252153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3040252153344 its reverse (4433512520403), we get a palindrome (7473764673747).

The spelling of 3040252153344 in words is "three trillion, forty billion, two hundred fifty-two million, one hundred fifty-three thousand, three hundred forty-four".