4013813144 has 64 divisors (see below), whose sum is σ = 8296646400. Its totient is φ = 1805328000.

The previous prime is 4013813143. The next prime is 4013813147. The reversal of 4013813144 is 4413183104.

It is a happy number.

It is a super-2 number, since 2×4013813144² = 32221391909894329472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013813143) 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, 5035754 + ... + 5036550.

It is an arithmetic number, because the mean of its divisors is an integer number (129635100).

Almost surely, 2^4013813144 is an apocalyptic number.

4013813144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013813144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148323200).

4013813144 is an abundant number, since it is smaller than the sum of its proper divisors (4282833256).

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

4013813144 is a wasteful number, since it uses less digits than its factorization.

4013813144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4013813144 is about 63354.6615806603. The cubic root of 4013813144 is about 1589.2262025983.

Adding to 4013813144 its reverse (4413183104), we get a palindrome (8426996248).

The spelling of 4013813144 in words is "four billion, thirteen million, eight hundred thirteen thousand, one hundred forty-four".