3040131346560 has 2560 divisors, whose sum is σ = 14556940738560. Its totient is φ = 585252864000.

The previous prime is 3040131346547. The next prime is 3040131346589. The reversal of 3040131346560 is 656431310403.

3040131346560 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 131 + 3 + 465 + 60 = 666.

It is a super-3 number, since 3×3040131346560³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4817957445 + ... + 4817958075.

It is an arithmetic number, because the mean of its divisors is an integer number (5686304976).

Almost surely, 2^{3040131346560} is an apocalyptic number.

3040131346560 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 3040131346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278470369280).

3040131346560 is an abundant number, since it is smaller than the sum of its proper divisors (11516809392000).

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

3040131346560 is a wasteful number, since it uses less digits than its factorization.

3040131346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 3040131346560 its reverse (656431310403), we get a palindrome (3696562656963).

The spelling of 3040131346560 in words is "three trillion, forty billion, one hundred thirty-one million, three hundred forty-six thousand, five hundred sixty".