4180681344 has 256 divisors, whose sum is σ = 13536460800. Its totient is φ = 1115996160.

The previous prime is 4180681339. The next prime is 4180681363. The reversal of 4180681344 is 4431860814.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8727697 + ... + 8728175.

It is an arithmetic number, because the mean of its divisors is an integer number (52876800).

Almost surely, 2^4180681344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4180681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768230400).

4180681344 is an abundant number, since it is smaller than the sum of its proper divisors (9355779456).

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

4180681344 is a wasteful number, since it uses less digits than its factorization.

4180681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4180681344 is about 64658.1885301467. The cubic root of 4180681344 is about 1610.9510916555.

The spelling of 4180681344 in words is "four billion, one hundred eighty million, six hundred eighty-one thousand, three hundred forty-four".