4100144000 has 128 divisors (see below), whose sum is σ = 10291881600. Its totient is φ = 1624320000.

The previous prime is 4100143991. The next prime is 4100144047. The reversal of 4100144000 is 4410014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4100144000² = 33622361641472000000, which contains 22 as substring.

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, 1742825 + ... + 1745175.

It is an arithmetic number, because the mean of its divisors is an integer number (80405325).

Almost surely, 2^4100144000 is an apocalyptic number.

4100144000 is a gapful number since it is divisible by the number (40) 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 4100144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145940800).

4100144000 is an abundant number, since it is smaller than the sum of its proper divisors (6191737600).

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

4100144000 is a wasteful number, since it uses less digits than its factorization.

4100144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4100144000 is about 64032.3668155410. The cubic root of 4100144000 is about 1600.5394014667.

Adding to 4100144000 its reverse (4410014), we get a palindrome (4104554014).

The spelling of 4100144000 in words is "four billion, one hundred million, one hundred forty-four thousand".