41400400 has 120 divisors (see below), whose sum is σ = 106555680. Its totient is φ = 15429120.

The previous prime is 41400383. The next prime is 41400409. The reversal of 41400400 is 400414.

It is a happy number.

41400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41400409) 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 23 ways as a sum of consecutive naturals, for example, 498759 + ... + 498841.

It is an arithmetic number, because the mean of its divisors is an integer number (887964).

Almost surely, 2^41400400 is an apocalyptic number.

41400400 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 41400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53277840).

41400400 is an abundant number, since it is smaller than the sum of its proper divisors (65155280).

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

41400400 is a wasteful number, since it uses less digits than its factorization.

41400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

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

The square root of 41400400 is about 6434.3142602767. The cubic root of 41400400 is about 345.9405825332.

Adding to 41400400 its reverse (400414), we get a palindrome (41800814).

The spelling of 41400400 in words is "forty-one million, four hundred thousand, four hundred".