4081134245760 has 768 divisors, whose sum is σ = 16720685392320. Its totient is φ = 904200192000.

The previous prime is 4081134245687. The next prime is 4081134245779. The reversal of 4081134245760 is 675424311804.

4081134245760 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 134 + 2 + 457 + 60 = 666.

4081134245760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 83167152 + ... + 83216208.

Almost surely, 2^{4081134245760} is an apocalyptic number.

4081134245760 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 4081134245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360342696160).

4081134245760 is an abundant number, since it is smaller than the sum of its proper divisors (12639551146560).

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

4081134245760 is a wasteful number, since it uses less digits than its factorization.

4081134245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49207 (or 49192 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4081134245760 in words is "four trillion, eighty-one billion, one hundred thirty-four million, two hundred forty-five thousand, seven hundred sixty".