4020082560 has 384 divisors, whose sum is σ = 15364308960. Its totient is φ = 962150400.

The previous prime is 4020082541. The next prime is 4020082571. The reversal of 4020082560 is 652800204.

4020082560 is a `hidden beast` number, since 4 + 0 + 20 + 0 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4020082560² = 32322127578432307200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2769835 + ... + 2771285.

Almost surely, 2^4020082560 is an apocalyptic number.

4020082560 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 4020082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682154480).

4020082560 is an abundant number, since it is smaller than the sum of its proper divisors (11344226400).

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

4020082560 is a wasteful number, since it uses less digits than its factorization.

4020082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4020082560 is about 63404.1210017141. The cubic root of 4020082560 is about 1590.0532081399.

Adding to 4020082560 its reverse (652800204), we get a palindrome (4672882764).

It can be divided in two parts, 40200 and 82560, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 4020082560 in words is "four billion, twenty million, eighty-two thousand, five hundred sixty".