4131682560 has 144 divisors (see below), whose sum is σ = 14661857280. Its totient is φ = 1101772800.

The previous prime is 4131682553. The next prime is 4131682571. The reversal of 4131682560 is 652861314.

It is a happy number.

4131682560 is a `hidden beast` number, since 4 + 1 + 3 + 16 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25216 + ... + 94335.

Almost surely, 2^4131682560 is an apocalyptic number.

4131682560 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 4131682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330928640).

4131682560 is an abundant number, since it is smaller than the sum of its proper divisors (10530174720).

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

4131682560 is a wasteful number, since it uses less digits than its factorization.

4131682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119581 (or 119561 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4131682560 is about 64278.1654996469. The cubic root of 4131682560 is about 1604.6327397964.

The spelling of 4131682560 in words is "four billion, one hundred thirty-one million, six hundred eighty-two thousand, five hundred sixty".