41214120 has 128 divisors (see below), whose sum is σ = 132969600. Its totient is φ = 10182656.

The previous prime is 41214119. The next prime is 41214127. The reversal of 41214120 is 2141214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41214120.

It is not an unprimeable number, because it can be changed into a prime (41214127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181447 + ... + 181673.

It is an arithmetic number, because the mean of its divisors is an integer number (1038825).

Almost surely, 2^41214120 is an apocalyptic number.

41214120 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 41214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66484800).

41214120 is an abundant number, since it is smaller than the sum of its proper divisors (91755480).

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

41214120 is a wasteful number, since it uses less digits than its factorization.

41214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41214120 is about 6419.8224274508. The cubic root of 41214120 is about 345.4209522442.

Adding to 41214120 its reverse (2141214), we get a palindrome (43355334).

The spelling of 41214120 in words is "forty-one million, two hundred fourteen thousand, one hundred twenty".