4132685640 has 128 divisors (see below), whose sum is σ = 12979077120. Its totient is φ = 1051411200.

The previous prime is 4132685617. The next prime is 4132685657. The reversal of 4132685640 is 465862314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256297 + ... + 271943.

It is an arithmetic number, because the mean of its divisors is an integer number (101399040).

Almost surely, 2^4132685640 is an apocalyptic number.

4132685640 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 4132685640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489538560).

4132685640 is an abundant number, since it is smaller than the sum of its proper divisors (8846391480).

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

4132685640 is a wasteful number, since it uses less digits than its factorization.

4132685640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4132685640 is about 64285.9676756911. The cubic root of 4132685640 is about 1604.7625855874.

The spelling of 4132685640 in words is "four billion, one hundred thirty-two million, six hundred eighty-five thousand, six hundred forty".