4010983388160 has 704 divisors, whose sum is σ = 15167189184000. Its totient is φ = 904150646784.

The previous prime is 4010983388149. The next prime is 4010983388161. The reversal of 4010983388160 is 618833890104.

It is a super-5 number, since 5×4010983388160⁵ (a number of 64 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010983388161) 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 63 ways as a sum of consecutive naturals, for example, 384593826 + ... + 384604254.

Almost surely, 2^{4010983388160} is an apocalyptic number.

4010983388160 is a gapful number since it is divisible by the number (40) 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 4010983388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583594592000).

4010983388160 is an abundant number, since it is smaller than the sum of its proper divisors (11156205795840).

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

4010983388160 is a wasteful number, since it uses less digits than its factorization.

4010983388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 4010983388160 in words is "four trillion, ten billion, nine hundred eighty-three million, three hundred eighty-eight thousand, one hundred sixty".