4120736544 has 96 divisors (see below), whose sum is σ = 12030480000. Its totient is φ = 1372246272.

The previous prime is 4120736537. The next prime is 4120736561. The reversal of 4120736544 is 4456370214.

4120736544 is a `hidden beast` number, since 41 + 2 + 0 + 73 + 6 + 544 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4120736499 and 4120736508.

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 15 ways as a sum of consecutive naturals, for example, 1336797 + ... + 1339875.

It is an arithmetic number, because the mean of its divisors is an integer number (125317500).

Almost surely, 2^4120736544 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 4120736544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015240000).

4120736544 is an abundant number, since it is smaller than the sum of its proper divisors (7909743456).

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

4120736544 is a wasteful number, since it uses less digits than its factorization.

4120736544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4120736544 is about 64192.9633526915. The cubic root of 4120736544 is about 1603.2144419438.

The spelling of 4120736544 in words is "four billion, one hundred twenty million, seven hundred thirty-six thousand, five hundred forty-four".