4140400 has 60 divisors (see below), whose sum is σ = 10863144. Its totient is φ = 1504000.

The previous prime is 4140397. The next prime is 4140419. The reversal of 4140400 is 40414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3930 + ... + 4870.

Almost surely, 2^4140400 is an apocalyptic number.

4140400 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 4140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431572).

4140400 is an abundant number, since it is smaller than the sum of its proper divisors (6722744).

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

4140400 is a wasteful number, since it uses less digits than its factorization.

4140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

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

The square root of 4140400 is about 2034.7972872009. The cubic root of 4140400 is about 160.5760485614.

Adding to 4140400 its reverse (40414), we get a palindrome (4180814).

The spelling of 4140400 in words is "four million, one hundred forty thousand, four hundred".