41400 has 72 divisors (see below), whose sum is σ = 145080. Its totient is φ = 10560.

The previous prime is 41399. The next prime is 41411. The reversal of 41400 is 414.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1789 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (2015).

2⁴¹⁴⁰⁰ is an apocalyptic number.

41400 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 41400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

41400 is an abundant number, since it is smaller than the sum of its proper divisors (103680).

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

41400 is a wasteful number, since it uses less digits than its factorization.

41400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

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

The square root of 41400 is about 203.4698994938. The cubic root of 41400 is about 34.5939468400.

Adding to 41400 its reverse (414), we get a palindrome (41814).

Multiplying 41400 by its reverse (414), we get a square (17139600 = 4140²).

41400 divided by its reverse (414) gives a square (100 = 10²).

It can be divided in two parts, 41 and 400, that added together give a square (441 = 21²).

The spelling of 41400 in words is "forty-one thousand, four hundred", and thus it is an iban number.