4129681160 has 96 divisors (see below), whose sum is σ = 10698480000. Its totient is φ = 1422610560.

The previous prime is 4129681159. The next prime is 4129681177. The reversal of 4129681160 is 611869214.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 145841 + ... + 171839.

It is an arithmetic number, because the mean of its divisors is an integer number (111442500).

Almost surely, 2^4129681160 is an apocalyptic number.

4129681160 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 4129681160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349240000).

4129681160 is an abundant number, since it is smaller than the sum of its proper divisors (6568798840).

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

4129681160 is a wasteful number, since it uses less digits than its factorization.

4129681160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26059 (or 26036 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 4129681160 is about 64262.5953413025. The cubic root of 4129681160 is about 1604.3736015709.

The spelling of 4129681160 in words is "four billion, one hundred twenty-nine million, six hundred eighty-one thousand, one hundred sixty".