4041400 has 72 divisors (see below), whose sum is σ = 10389960. Its totient is φ = 1460800.

The previous prime is 4041383. The next prime is 4041407. The reversal of 4041400 is 41404.

4041400 = 390² + 391² + ... + 414².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24117 + ... + 24283.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

Almost surely, 2^4041400 is an apocalyptic number.

4041400 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 4041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194980).

4041400 is an abundant number, since it is smaller than the sum of its proper divisors (6348560).

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

4041400 is a wasteful number, since it uses less digits than its factorization.

4041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4041400 is about 2010.3233570747. The cubic root of 4041400 is about 159.2858799453.

Adding to 4041400 its reverse (41404), we get a palindrome (4082804).

The spelling of 4041400 in words is "four million, forty-one thousand, four hundred".