4164639981696 has 1280 divisors, whose sum is σ = 14217984000000. Its totient is φ = 1203142533120.

The previous prime is 4164639981659. The next prime is 4164639981707. The reversal of 4164639981696 is 6961899364614.

4164639981696 is a `hidden beast` number, since 4 + 16 + 463 + 9 + 98 + 1 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 159 ways as a sum of consecutive naturals, for example, 20927839005 + ... + 20927839203.

It is an arithmetic number, because the mean of its divisors is an integer number (11107800000).

Almost surely, 2^{4164639981696} is an apocalyptic number.

4164639981696 is a gapful number since it is divisible by the number (46) 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 4164639981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108992000000).

4164639981696 is an abundant number, since it is smaller than the sum of its proper divisors (10053344018304).

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

4164639981696 is a wasteful number, since it uses less digits than its factorization.

4164639981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 4164639981696 in words is "four trillion, one hundred sixty-four billion, six hundred thirty-nine million, nine hundred eighty-one thousand, six hundred ninety-six".