4136829312 has 576 divisors, whose sum is σ = 14846630400. Its totient is φ = 1014773760.

The previous prime is 4136829247. The next prime is 4136829329. The reversal of 4136829312 is 2139286314.

It is a super-2 number, since 2×4136829312² = 34226713513244786688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52364889 + ... + 52364967.

It is an arithmetic number, because the mean of its divisors is an integer number (25775400).

Almost surely, 2^4136829312 is an apocalyptic number.

4136829312 is a gapful number since it is divisible by the number (42) 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 4136829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423315200).

4136829312 is an abundant number, since it is smaller than the sum of its proper divisors (10709801088).

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

4136829312 is a wasteful number, since it uses less digits than its factorization.

4136829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 4136829312 is about 64318.1880341789. The cubic root of 4136829312 is about 1605.2987493301.

The spelling of 4136829312 in words is "four billion, one hundred thirty-six million, eight hundred twenty-nine thousand, three hundred twelve".