4114739006752 has 96 divisors (see below), whose sum is σ = 8928360665280. Its totient is φ = 1851104762880.

The previous prime is 4114739006687. The next prime is 4114739006783. The reversal of 4114739006752 is 2576009374114.

It is a junction number, because it is equal to n+sod(n) for n = 4114739006696 and 4114739006705.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40211718 + ... + 40313914.

It is an arithmetic number, because the mean of its divisors is an integer number (93003756930).

Almost surely, 2^{4114739006752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114739006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464180332640).

4114739006752 is an abundant number, since it is smaller than the sum of its proper divisors (4813621658528).

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

4114739006752 is a wasteful number, since it uses less digits than its factorization.

4114739006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103394 (or 103386 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 4114739006752 in words is "four trillion, one hundred fourteen billion, seven hundred thirty-nine million, six thousand, seven hundred fifty-two".