4082412960 has 480 divisors, whose sum is σ = 15477739200. Its totient is φ = 1010257920.

The previous prime is 4082412959. The next prime is 4082412967. The reversal of 4082412960 is 692142804.

4082412960 is a `hidden beast` number, since 408 + 241 + 2 + 9 + 6 + 0 = 666.

4082412960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (4082412967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14528020 + ... + 14528300.

It is an arithmetic number, because the mean of its divisors is an integer number (32245290).

It is a vampire number, since it can be written as 42480 ⋅ 96102 (with its own digits).

Almost surely, 2^4082412960 is an apocalyptic number.

4082412960 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 4082412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738869600).

4082412960 is an abundant number, since it is smaller than the sum of its proper divisors (11395326240).

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

4082412960 is a wasteful number, since it uses less digits than its factorization.

4082412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4082412960 is about 63893.7630759059. The cubic root of 4082412960 is about 1598.2288943806.

The spelling of 4082412960 in words is "four billion, eighty-two million, four hundred twelve thousand, nine hundred sixty".