4213135296 has 140 divisors (see below), whose sum is σ = 13223979648. Its totient is φ = 1321740288.

The previous prime is 4213135271. The next prime is 4213135309. The reversal of 4213135296 is 6925313124.

4213135296 is a `hidden beast` number, since 4 + 213 + 1 + 352 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4213135296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64225 + ... + 112031.

Almost surely, 2^4213135296 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 4213135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611989824).

4213135296 is an abundant number, since it is smaller than the sum of its proper divisors (9010844352).

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

4213135296 is a wasteful number, since it uses less digits than its factorization.

4213135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47848 (or 47829 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 4213135296 is about 64908.6688817449. The cubic root of 4213135296 is about 1615.1088688762.

The spelling of 4213135296 in words is "four billion, two hundred thirteen million, one hundred thirty-five thousand, two hundred ninety-six".