4005553106336 has 72 divisors (see below), whose sum is σ = 8323747570404. Its totient is φ = 1897157283840.

The previous prime is 4005553106327. The next prime is 4005553106339. The reversal of 4005553106336 is 6336013555004.

4005553106336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3790980337936 + 214572768400 = 1947044^2 + 463220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4005553106293 and 4005553106302.

It is not an unprimeable number, because it can be changed into a prime (4005553106339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168196766 + ... + 168220578.

Almost surely, 2^{4005553106336} 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 4005553106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161873785202).

4005553106336 is an abundant number, since it is smaller than the sum of its proper divisors (4318194464068).

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

4005553106336 is a wasteful number, since it uses less digits than its factorization.

4005553106336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38422 (or 38395 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 41.

The spelling of 4005553106336 in words is "four trillion, five billion, five hundred fifty-three million, one hundred six thousand, three hundred thirty-six".