41413120 has 80 divisors (see below), whose sum is σ = 113528448. Its totient is φ = 14192640.

The previous prime is 41413081. The next prime is 41413121. The reversal of 41413120 is 2131414.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 41413094 and 41413103.

It is not an unprimeable number, because it can be changed into a prime (41413121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16765 + ... + 19075.

Almost surely, 2^41413120 is an apocalyptic number.

41413120 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 41413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56764224).

41413120 is an abundant number, since it is smaller than the sum of its proper divisors (72115328).

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

41413120 is an equidigital number, since it uses as much as digits as its factorization.

41413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41413120 is about 6435.3026346863. The cubic root of 41413120 is about 345.9760082265.

Adding to 41413120 its reverse (2131414), we get a palindrome (43544534).

The spelling of 41413120 in words is "forty-one million, four hundred thirteen thousand, one hundred twenty".