4129936000 has 128 divisors (see below), whose sum is σ = 10310976000. Its totient is φ = 1645081600.

The previous prime is 4129935991. The next prime is 4129936001. The reversal of 4129936000 is 6399214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129936001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5743641 + ... + 5744359.

It is an arithmetic number, because the mean of its divisors is an integer number (80554500).

Almost surely, 2^4129936000 is an apocalyptic number.

4129936000 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 4129936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155488000).

4129936000 is an abundant number, since it is smaller than the sum of its proper divisors (6181040000).

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

4129936000 is an equidigital number, since it uses as much as digits as its factorization.

4129936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 4129936000 is about 64264.5781126742. The cubic root of 4129936000 is about 1604.4066025172.

The spelling of 4129936000 in words is "four billion, one hundred twenty-nine million, nine hundred thirty-six thousand".