4134491424 has 252 divisors, whose sum is σ = 14200516134. Its totient is φ = 1180956672.

The previous prime is 4134491423. The next prime is 4134491453. The reversal of 4134491424 is 4241944314.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4129347600 + 5143824 = 64260^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4134491423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1141264 + ... + 1144880.

Almost surely, 2^4134491424 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 4134491424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100258067).

4134491424 is an abundant number, since it is smaller than the sum of its proper divisors (10066024710).

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

4134491424 is an equidigital number, since it uses as much as digits as its factorization.

4134491424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3629 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4134491424 is about 64300.0110730939. The cubic root of 4134491424 is about 1604.9962861299.

The spelling of 4134491424 in words is "four billion, one hundred thirty-four million, four hundred ninety-one thousand, four hundred twenty-four".