4136413344 has 96 divisors (see below), whose sum is σ = 13139231616. Its totient is φ = 1112309760.

The previous prime is 4136413339. The next prime is 4136413349. The reversal of 4136413344 is 4433146314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4136413339) and next prime (4136413349).

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

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 (4136413349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169617 + ... + 192464.

It is an arithmetic number, because the mean of its divisors is an integer number (136866996).

Almost surely, 2^4136413344 is an apocalyptic number.

It is an amenable number.

4136413344 is an abundant number, since it is smaller than the sum of its proper divisors (9002818272).

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

4136413344 is a wasteful number, since it uses less digits than its factorization.

4136413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362118 (or 362110 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 4136413344 is about 64314.9542797008. The cubic root of 4136413344 is about 1605.2449419942.

Adding to 4136413344 its reverse (4433146314), we get a palindrome (8569559658).

The spelling of 4136413344 in words is "four billion, one hundred thirty-six million, four hundred thirteen thousand, three hundred forty-four".