4010770475712 has 1792 divisors, whose sum is σ = 16386048000000. Its totient is φ = 947865784320.

The previous prime is 4010770475693. The next prime is 4010770475717. The reversal of 4010770475712 is 2175740770104.

4010770475712 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 7 + 70 + 4 + 7 + 571 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4010770475717) 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 255 ways as a sum of consecutive naturals, for example, 6695776789 + ... + 6695777387.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000000).

Almost surely, 2^{4010770475712} is an apocalyptic number.

4010770475712 is a gapful number since it is divisible by the number (42) 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 4010770475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024000000).

4010770475712 is an abundant number, since it is smaller than the sum of its proper divisors (12375277524288).

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

4010770475712 is a wasteful number, since it uses less digits than its factorization.

4010770475712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 4010770475712 in words is "four trillion, ten billion, seven hundred seventy million, four hundred seventy-five thousand, seven hundred twelve".