41142120 has 64 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 10900224.

The previous prime is 41142107. The next prime is 41142133. The reversal of 41142120 is 2124114.

41142120 = 411² + 412² + ... + 577².

It is an interprime number because it is at equal distance from previous prime (41142107) and next prime (41142133).

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 41142120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19014 + ... + 21066.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^41142120 is an apocalyptic number.

41142120 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 41142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112960).

41142120 is an abundant number, since it is smaller than the sum of its proper divisors (83083800).

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

41142120 is a wasteful number, since it uses less digits than its factorization.

41142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2230 counting only the distinct ones).

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

The square root of 41142120 is about 6414.2123444738. The cubic root of 41142120 is about 345.2196878456.

Adding to 41142120 its reverse (2124114), we get a palindrome (43266234).

The spelling of 41142120 in words is "forty-one million, one hundred forty-two thousand, one hundred twenty".