4131280 has 40 divisors (see below), whose sum is σ = 9711432. Its totient is φ = 1634304.

The previous prime is 4131241. The next prime is 4131293. The reversal of 4131280 is 821314.

4131280 = T₁₂₈₃ + T₁₂₈₄ + ... + T₁₂₈₇.

4131280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 3968064 = 404^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8812 + ... + 9268.

Almost surely, 2^4131280 is an apocalyptic number.

4131280 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 4131280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855716).

4131280 is an abundant number, since it is smaller than the sum of its proper divisors (5580152).

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

4131280 is a wasteful number, since it uses less digits than its factorization.

4131280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4131280 is about 2032.5550423051. Note that the first 3 decimals coincide. The cubic root of 4131280 is about 160.4580623665.

Adding to 4131280 its reverse (821314), we get a palindrome (4952594).

The spelling of 4131280 in words is "four million, one hundred thirty-one thousand, two hundred eighty".