4036006520896 has 448 divisors, whose sum is σ = 10139393894400. Its totient is φ = 1554766626816.

The previous prime is 4036006520867. The next prime is 4036006520929. The reversal of 4036006520896 is 6980256006304.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 4344462960 + ... + 4344463888.

Almost surely, 2^{4036006520896} 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 4036006520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069696947200).

4036006520896 is an abundant number, since it is smaller than the sum of its proper divisors (6103387373504).

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

4036006520896 is a wasteful number, since it uses less digits than its factorization.

4036006520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 4036006520896 in words is "four trillion, thirty-six billion, six million, five hundred twenty thousand, eight hundred ninety-six".