4131880 has 32 divisors (see below), whose sum is σ = 9477000. Its totient is φ = 1620736.

The previous prime is 4131877. The next prime is 4131889. The reversal of 4131880 is 881314.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 139876 = 1998^2 + 374^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4131889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146 + ... + 3094.

Almost surely, 2^4131880 is an apocalyptic number.

4131880 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 4131880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738500).

4131880 is an abundant number, since it is smaller than the sum of its proper divisors (5345120).

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

4131880 is a wasteful number, since it uses less digits than its factorization.

4131880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 4131880 is about 2032.7026344254. The cubic root of 4131880 is about 160.4658299492.

The spelling of 4131880 in words is "four million, one hundred thirty-one thousand, eight hundred eighty".