4153264416 has 384 divisors, whose sum is σ = 14902272000. Its totient is φ = 1098842112.

The previous prime is 4153264403. The next prime is 4153264439. The reversal of 4153264416 is 6144623514.

4153264416 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 2 + 644 + 1 + 6 = 666.

4153264416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4153264416³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5400480 + ... + 5401248.

It is an arithmetic number, because the mean of its divisors is an integer number (38808000).

Almost surely, 2^4153264416 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 4153264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136000).

4153264416 is an abundant number, since it is smaller than the sum of its proper divisors (10749007584).

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

4153264416 is a wasteful number, since it uses less digits than its factorization.

4153264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 847 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4153264416 is about 64445.8254350117. The cubic root of 4153264416 is about 1607.4218237674.

The spelling of 4153264416 in words is "four billion, one hundred fifty-three million, two hundred sixty-four thousand, four hundred sixteen".