3040456851680 has 576 divisors, whose sum is σ = 8297041019904. Its totient is φ = 1047132979200.

The previous prime is 3040456851673. The next prime is 3040456851683. The reversal of 3040456851680 is 861586540403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040456851683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6192376235 + ... + 6192376725.

It is an arithmetic number, because the mean of its divisors is an integer number (14404585104).

Almost surely, 2^{3040456851680} 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 3040456851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148520509952).

3040456851680 is an abundant number, since it is smaller than the sum of its proper divisors (5256584168224).

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

3040456851680 is a wasteful number, since it uses less digits than its factorization.

3040456851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 3040456851680 in words is "three trillion, forty billion, four hundred fifty-six million, eight hundred fifty-one thousand, six hundred eighty".