41514120 has 96 divisors (see below), whose sum is σ = 139950720. Its totient is φ = 11067840.

The previous prime is 41514079. The next prime is 41514127. The reversal of 41514120 is 2141514.

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

It is a junction number, because it is equal to n+sod(n) for n = 41514093 and 41514102.

It is not an unprimeable number, because it can be changed into a prime (41514127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7585 + ... + 11855.

It is an arithmetic number, because the mean of its divisors is an integer number (1457820).

Almost surely, 2^41514120 is an apocalyptic number.

41514120 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 41514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69975360).

41514120 is an abundant number, since it is smaller than the sum of its proper divisors (98436600).

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

41514120 is a wasteful number, since it uses less digits than its factorization.

41514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 41514120 is about 6443.1451947011. The cubic root of 41514120 is about 346.2570400025.

Adding to 41514120 its reverse (2141514), we get a palindrome (43655634).

It can be divided in two parts, 415 and 14120, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 41514120 in words is "forty-one million, five hundred fourteen thousand, one hundred twenty".