4153807056 has 320 divisors, whose sum is σ = 13510246400. Its totient is φ = 1073088000.

The previous prime is 4153807003. The next prime is 4153807057. The reversal of 4153807056 is 6507083514.

It is a super-2 number, since 2×4153807056² = 34508226116950774272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153807057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27508581 + ... + 27508731.

It is an arithmetic number, because the mean of its divisors is an integer number (42219520).

Almost surely, 2^4153807056 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 4153807056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755123200).

4153807056 is an abundant number, since it is smaller than the sum of its proper divisors (9356439344).

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

4153807056 is a wasteful number, since it uses less digits than its factorization.

4153807056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 4153807056 is about 64450.0353452192. The cubic root of 4153807056 is about 1607.4918260039.

The spelling of 4153807056 in words is "four billion, one hundred fifty-three million, eight hundred seven thousand, fifty-six".