4140500 has 108 divisors (see below), whose sum is σ = 11390652. Its totient is φ = 1310400.

The previous prime is 4140481. The next prime is 4140511. The reversal of 4140500 is 50414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2917264 + 1223236 = 1708^2 + 1106^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 318494 + ... + 318506.

It is an arithmetic number, because the mean of its divisors is an integer number (105469).

Almost surely, 2^4140500 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 4140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695326).

4140500 is an abundant number, since it is smaller than the sum of its proper divisors (7250152).

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

4140500 is a wasteful number, since it uses less digits than its factorization.

4140500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4140500 is about 2034.8218595248. The cubic root of 4140500 is about 160.5773413089.

Multiplying 4140500 by its product of nonzero digits (80), we get a square (331240000 = 18200²).

Adding to 4140500 its reverse (50414), we get a palindrome (4190914).

The spelling of 4140500 in words is "four million, one hundred forty thousand, five hundred".