4141000 has 64 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1600000.

The previous prime is 4140973. The next prime is 4141001. The reversal of 4141000 is 1414.

It can be written as a sum of positive squares in 8 ways, for example, as 148996 + 3992004 = 386^2 + 1998^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4141001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40950 + ... + 41050.

Almost surely, 2^4141000 is an apocalyptic number.

4141000 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 4141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

4141000 is an abundant number, since it is smaller than the sum of its proper divisors (5883560).

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

4141000 is a wasteful number, since it uses less digits than its factorization.

4141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4141000 is about 2034.9447166938. The cubic root of 4141000 is about 160.5838047344.

Adding to 4141000 its reverse (1414), we get a palindrome (4142414).

It can be divided in two parts, 41 and 41000, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 4141000 in words is "four million, one hundred forty-one thousand".