41955144 has 128 divisors (see below), whose sum is σ = 132986880. Its totient is φ = 10713600.

The previous prime is 41955139. The next prime is 41955157. The reversal of 41955144 is 44155914.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 134749 + ... + 135059.

It is an arithmetic number, because the mean of its divisors is an integer number (1038960).

Almost surely, 2^41955144 is an apocalyptic number.

41955144 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 41955144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66493440).

41955144 is an abundant number, since it is smaller than the sum of its proper divisors (91031736).

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

41955144 is a wasteful number, since it uses less digits than its factorization.

41955144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 41955144 is about 6477.2790583701. The cubic root of 41955144 is about 347.4788738602.

It can be divided in two parts, 4195 and 5144, that added together give a palindrome (9339).

The spelling of 41955144 in words is "forty-one million, nine hundred fifty-five thousand, one hundred forty-four".