4134340320 has 96 divisors (see below), whose sum is σ = 14207114880. Its totient is φ = 1002263040.

The previous prime is 4134340291. The next prime is 4134340337. The reversal of 4134340320 is 230434314.

4134340320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386230 + ... + 396789.

It is an arithmetic number, because the mean of its divisors is an integer number (147990780).

Almost surely, 2^4134340320 is an apocalyptic number.

4134340320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134340320 is an abundant number, since it is smaller than the sum of its proper divisors (10072774560).

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

4134340320 is a wasteful number, since it uses less digits than its factorization.

4134340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783048 (or 783040 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4134340320 is about 64298.8360703365. The cubic root of 4134340320 is about 1604.9767331960.

Adding to 4134340320 its reverse (230434314), we get a palindrome (4364774634).

The spelling of 4134340320 in words is "four billion, one hundred thirty-four million, three hundred forty thousand, three hundred twenty".