4213829256 has 256 divisors, whose sum is σ = 13530316800. Its totient is φ = 1063756800.

The previous prime is 4213829239. The next prime is 4213829261. The reversal of 4213829256 is 6529283124.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7379451 + ... + 7380021.

It is an arithmetic number, because the mean of its divisors is an integer number (52852800).

Almost surely, 2^4213829256 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 4213829256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765158400).

4213829256 is an abundant number, since it is smaller than the sum of its proper divisors (9316487544).

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

4213829256 is a wasteful number, since it uses less digits than its factorization.

4213829256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 736 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 4213829256 is about 64914.0143266460. The cubic root of 4213829256 is about 1615.1975407195.

The spelling of 4213829256 in words is "four billion, two hundred thirteen million, eight hundred twenty-nine thousand, two hundred fifty-six".