4120854516 has 72 divisors (see below), whose sum is σ = 10628097480. Its totient is φ = 1345803264.

The previous prime is 4120854511. The next prime is 4120854523. The reversal of 4120854516 is 6154580214.

It is a happy number.

4120854516 is a `hidden beast` number, since 4 + 120 + 85 + 451 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 848556900 + 3272297616 = 29130^2 + 57204^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120854511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2153176 + ... + 2155088.

It is an arithmetic number, because the mean of its divisors is an integer number (147612465).

Almost surely, 2^4120854516 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 4120854516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314048740).

4120854516 is an abundant number, since it is smaller than the sum of its proper divisors (6507242964).

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

4120854516 is a wasteful number, since it uses less digits than its factorization.

4120854516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4120854516 is about 64193.8822318763. The cubic root of 4120854516 is about 1603.2297411998.

The spelling of 4120854516 in words is "four billion, one hundred twenty million, eight hundred fifty-four thousand, five hundred sixteen".