41142144000 has 352 divisors, whose sum is σ = 144082598400. Its totient is φ = 10391961600.

The previous prime is 41142143971. The next prime is 41142144011. The reversal of 41142144000 is 44124114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7293181 + ... + 7298819.

Almost surely, 2^41142144000 is an apocalyptic number.

41142144000 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 41142144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72041299200).

41142144000 is an abundant number, since it is smaller than the sum of its proper divisors (102940454400).

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

41142144000 is a wasteful number, since it uses less digits than its factorization.

41142144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 41142144000 its reverse (44124114), we get a palindrome (41186268114).

The spelling of 41142144000 in words is "forty-one billion, one hundred forty-two million, one hundred forty-four thousand".