4052885760 has 576 divisors, whose sum is σ = 17942722560. Its totient is φ = 841605120.

The previous prime is 4052885743. The next prime is 4052885773. The reversal of 4052885760 is 675882504.

4052885760 is a `hidden beast` number, since 40 + 528 + 85 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4052885760² = 32851765967221555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2660359 + ... + 2661881.

It is an arithmetic number, because the mean of its divisors is an integer number (31150560).

Almost surely, 2^4052885760 is an apocalyptic number.

4052885760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971361280).

4052885760 is an abundant number, since it is smaller than the sum of its proper divisors (13889836800).

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

4052885760 is a wasteful number, since it uses less digits than its factorization.

4052885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4052885760 is about 63662.2789413009. The cubic root of 4052885760 is about 1594.3663537165.

The spelling of 4052885760 in words is "four billion, fifty-two million, eight hundred eighty-five thousand, seven hundred sixty".