4075552942752 has 96 divisors (see below), whose sum is σ = 10779433136640. Its totient is φ = 1348225908480.

The previous prime is 4075552942729. The next prime is 4075552942789. The reversal of 4075552942752 is 2572492555704.

4075552942752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4075552942752² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4075552942692 and 4075552942701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35477727 + ... + 35592417.

It is an arithmetic number, because the mean of its divisors is an integer number (112285761840).

Almost surely, 2^{4075552942752} 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 4075552942752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389716568320).

4075552942752 is an abundant number, since it is smaller than the sum of its proper divisors (6703880193888).

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

4075552942752 is a wasteful number, since it uses less digits than its factorization.

4075552942752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117506 (or 117498 counting only the distinct ones).

The product of its (nonzero) digits is 35280000, while the sum is 57.

The spelling of 4075552942752 in words is "four trillion, seventy-five billion, five hundred fifty-two million, nine hundred forty-two thousand, seven hundred fifty-two".