41214000 has 80 divisors (see below), whose sum is σ = 132893280. Its totient is φ = 10988800.

The previous prime is 41213993. The next prime is 41214007. The reversal of 41214000 is 41214.

It is an interprime number because it is at equal distance from previous prime (41213993) and next prime (41214007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (41214007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2566 + ... + 9434.

It is an arithmetic number, because the mean of its divisors is an integer number (1661166).

Almost surely, 2^41214000 is an apocalyptic number.

41214000 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 41214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66446640).

41214000 is an abundant number, since it is smaller than the sum of its proper divisors (91679280).

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

41214000 is a wasteful number, since it uses less digits than its factorization.

41214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 41214000 is about 6419.8130813911. The cubic root of 41214000 is about 345.4206169986.

Adding to 41214000 its reverse (41214), we get a palindrome (41255214).

41214000 divided by its reverse (41214) gives a cube (1000 = 10³).

The spelling of 41214000 in words is "forty-one million, two hundred fourteen thousand".