4010456282112 has 440 divisors, whose sum is σ = 13744607374080. Its totient is φ = 1141010841600.

The previous prime is 4010456282111. The next prime is 4010456282123. The reversal of 4010456282112 is 2112826540104.

4010456282112 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 4 + 5 + 628 + 21 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010456282111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138750862 + ... + 138779762.

It is an arithmetic number, because the mean of its divisors is an integer number (31237744032).

Almost surely, 2^{4010456282112} is an apocalyptic number.

4010456282112 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 4010456282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872303687040).

4010456282112 is an abundant number, since it is smaller than the sum of its proper divisors (9734151091968).

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

4010456282112 is a wasteful number, since it uses less digits than its factorization.

4010456282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29179 (or 29152 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 4010456282112 in words is "four trillion, ten billion, four hundred fifty-six million, two hundred eighty-two thousand, one hundred twelve".