41216400 has 135 divisors (see below), whose sum is σ = 144381601. Its totient is φ = 10888320.

The previous prime is 41216363. The next prime is 41216401. The reversal of 41216400 is 461214.

The square root of 41216400 is 6420.

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

41216400 is a `hidden beast` number, since 4 + 1 + 21 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14837904 + 26378496 = 3852^2 + 5136^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41216401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 385147 + ... + 385253.

Almost surely, 2^41216400 is an apocalyptic number.

41216400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41216400 is the 6420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41216400

41216400 is an abundant number, since it is smaller than the sum of its proper divisors (103165201).

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

41216400 is a wasteful number, since it uses less digits than its factorization.

41216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 41216400 is about 345.4273217865.

Adding to 41216400 its reverse (461214), we get a palindrome (41677614).

It can be divided in two parts, 41216 and 400, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 41216400 in words is "forty-one million, two hundred sixteen thousand, four hundred".