4082504160 has 192 divisors, whose sum is σ = 15470784000. Its totient is φ = 884017152.

The previous prime is 4082504159. The next prime is 4082504197. The reversal of 4082504160 is 614052804.

It is a super-3 number, since 3×4082504160³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31866 + ... + 95814.

It is an arithmetic number, because the mean of its divisors is an integer number (80577000).

Almost surely, 2^4082504160 is an apocalyptic number.

4082504160 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 4082504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735392000).

4082504160 is an abundant number, since it is smaller than the sum of its proper divisors (11388279840).

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

4082504160 is a wasteful number, since it uses less digits than its factorization.

4082504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63993 (or 63985 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4082504160 is about 63894.4767566024. The cubic root of 4082504160 is about 1598.2407956256.

Adding to 4082504160 its reverse (614052804), we get a palindrome (4696556964).

The spelling of 4082504160 in words is "four billion, eighty-two million, five hundred four thousand, one hundred sixty".