3056645282040 has 512 divisors, whose sum is σ = 11944488960000. Its totient is φ = 694987776000.

The previous prime is 3056645281993. The next prime is 3056645282077. The reversal of 3056645282040 is 402825466503.

3056645282040 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 64 + 528 + 20 + 40 = 666.

3056645282040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3056645282040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70732440 + ... + 70775640.

It is an arithmetic number, because the mean of its divisors is an integer number (23329080000).

Almost surely, 2^{3056645282040} is an apocalyptic number.

3056645282040 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 3056645282040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972244480000).

3056645282040 is an abundant number, since it is smaller than the sum of its proper divisors (8887843677960).

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

3056645282040 is a wasteful number, since it uses less digits than its factorization.

3056645282040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43433 (or 43409 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3056645282040 in words is "three trillion, fifty-six billion, six hundred forty-five million, two hundred eighty-two thousand, forty".