41144880 has 160 divisors (see below), whose sum is σ = 153561600. Its totient is φ = 8902656.

The previous prime is 41144869. The next prime is 41144891. The reversal of 41144880 is 8844114.

It is an interprime number because it is at equal distance from previous prime (41144869) and next prime (41144891).

It is a super-5 number, since 5×41144880⁵ (a number of 39 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31276 + ... + 32564.

It is an arithmetic number, because the mean of its divisors is an integer number (959760).

Almost surely, 2^41144880 is an apocalyptic number.

41144880 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 41144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76780800).

41144880 is an abundant number, since it is smaller than the sum of its proper divisors (112416720).

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

41144880 is a wasteful number, since it uses less digits than its factorization.

41144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 41144880 is about 6414.4274880928. The cubic root of 41144880 is about 345.2274073070.

Adding to 41144880 its reverse (8844114), we get a palindrome (49988994).

It can be divided in two parts, 41144 and 880, that added together give a palindrome (42024).

The spelling of 41144880 in words is "forty-one million, one hundred forty-four thousand, eight hundred eighty".