4013536896 has 192 divisors, whose sum is σ = 12578436000. Its totient is φ = 1223534592.

The previous prime is 4013536871. The next prime is 4013536909. The reversal of 4013536896 is 6986353104.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4013536896² = 32216956831106629632, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 631591 + ... + 637913.

Almost surely, 2^4013536896 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 4013536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289218000).

4013536896 is an abundant number, since it is smaller than the sum of its proper divisors (8564899104).

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

4013536896 is a wasteful number, since it uses less digits than its factorization.

4013536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4013536896 is about 63352.4813720820. The cubic root of 4013536896 is about 1589.1897426191.

The spelling of 4013536896 in words is "four billion, thirteen million, five hundred thirty-six thousand, eight hundred ninety-six".