4129140960 has 576 divisors, whose sum is σ = 16812956160. Its totient is φ = 903352320.

The previous prime is 4129140913. The next prime is 4129140979. The reversal of 4129140960 is 690419214.

It is a happy number.

4129140960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31520095 + ... + 31520225.

It is an arithmetic number, because the mean of its divisors is an integer number (29189160).

Almost surely, 2^4129140960 is an apocalyptic number.

4129140960 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 4129140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406478080).

4129140960 is an abundant number, since it is smaller than the sum of its proper divisors (12683815200).

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

4129140960 is a wasteful number, since it uses less digits than its factorization.

4129140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4129140960 is about 64258.3921367474. The cubic root of 4129140960 is about 1604.3036429487.

The spelling of 4129140960 in words is "four billion, one hundred twenty-nine million, one hundred forty thousand, nine hundred sixty".