4144132410 has 128 divisors (see below), whose sum is σ = 11563720704. Its totient is φ = 940431360.

The previous prime is 4144132409. The next prime is 4144132411. The reversal of 4144132410 is 142314414.

4144132410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4144132409) and next prime (4144132411).

It is a super-2 number, since 2×4144132410² = 34347666863224816200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4144132411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350922 + ... + 362538.

It is an arithmetic number, because the mean of its divisors is an integer number (90341568).

Almost surely, 2^4144132410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781860352).

4144132410 is an abundant number, since it is smaller than the sum of its proper divisors (7419588294).

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

4144132410 is a wasteful number, since it uses less digits than its factorization.

4144132410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11708.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4144132410 is about 64374.9361941431. The cubic root of 4144132410 is about 1606.2428509626.

Adding to 4144132410 its reverse (142314414), we get a palindrome (4286446824).

The spelling of 4144132410 in words is "four billion, one hundred forty-four million, one hundred thirty-two thousand, four hundred ten".