4040100 has 81 divisors (see below), whose sum is σ = 12855297. Its totient is φ = 1061280.

The previous prime is 4040093. The next prime is 4040119. The reversal of 4040100 is 10404.

The square root of 4040100 is 2010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1454436 + 2585664 = 1206^2 + 1608^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60267 + ... + 60333.

Almost surely, 2^4040100 is an apocalyptic number.

4040100 is the 2010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040100

4040100 is an abundant number, since it is smaller than the sum of its proper divisors (8815197).

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

4040100 is a wasteful number, since it uses less digits than its factorization.

4040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 4040100 is about 159.2687989131.

Multiplying 4040100 by its product of nonzero digits (16), we get a square (64641600 = 8040²).

Adding to 4040100 its reverse (10404), we get a palindrome (4050504).

Multiplying 4040100 by its reverse (10404), we get a square (42033200400 = 205020²).

The spelling of 4040100 in words is "four million, forty thousand, one hundred".