4100144352 has 96 divisors (see below), whose sum is σ = 11291374080. Its totient is φ = 1300938240.

The previous prime is 4100144339. The next prime is 4100144383. The reversal of 4100144352 is 2534410014.

4100144352 is digitally balanced in base 2, because in such base 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 super-2 number, since 2×4100144352² = 33622367414474999808, which contains 22 as substring.

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, 187293 + ... + 208035.

It is an arithmetic number, because the mean of its divisors is an integer number (117618480).

Almost surely, 2^4100144352 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 4100144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645687040).

4100144352 is an abundant number, since it is smaller than the sum of its proper divisors (7191229728).

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

4100144352 is a wasteful number, since it uses less digits than its factorization.

4100144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20856 (or 20848 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4100144352 is about 64032.3695641509. The cubic root of 4100144352 is about 1600.5394472691.

Adding to 4100144352 its reverse (2534410014), we get a palindrome (6634554366).

The spelling of 4100144352 in words is "four billion, one hundred million, one hundred forty-four thousand, three hundred fifty-two".