4134201312 has 96 divisors (see below), whose sum is σ = 11057104800. Its totient is φ = 1352171520.

The previous prime is 4134201311. The next prime is 4134201403. The reversal of 4134201312 is 2131024314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134201311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3940564 + ... + 3941612.

It is an arithmetic number, because the mean of its divisors is an integer number (115178175).

Almost surely, 2^4134201312 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 4134201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528552400).

4134201312 is an abundant number, since it is smaller than the sum of its proper divisors (6922903488).

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

4134201312 is a wasteful number, since it uses less digits than its factorization.

4134201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4134201312 is about 64297.7551085573. The cubic root of 4134201312 is about 1604.9587450698.

Adding to 4134201312 its reverse (2131024314), we get a palindrome (6265225626).

The spelling of 4134201312 in words is "four billion, one hundred thirty-four million, two hundred one thousand, three hundred twelve".