41144004 has 96 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 12235680.

The previous prime is 41143981. The next prime is 41144009. The reversal of 41144004 is 40044114.

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

It is not an unprimeable number, because it can be changed into a prime (41144009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69799 + ... + 70385.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^41144004 is an apocalyptic number.

41144004 is a gapful number since it is divisible by the number (44) 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 41144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

41144004 is an abundant number, since it is smaller than the sum of its proper divisors (77396796).

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

41144004 is a wasteful number, since it uses less digits than its factorization.

41144004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41144004 is about 6414.3592041606. The cubic root of 41144004 is about 345.2249572545.

Adding to 41144004 its reverse (40044114), we get a palindrome (81188118).

It can be divided in two parts, 4114 and 4004, that added together give a palindrome (8118).

The spelling of 41144004 in words is "forty-one million, one hundred forty-four thousand, four".