41103541344000 has 288 divisors, whose sum is σ = 136539713943360. Its totient is φ = 10959796224000.

The previous prime is 41103541343939. The next prime is 41103541344017. The reversal of 41103541344000 is 44314530114.

It is a super-3 number, since 3×41103541344000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 1322960466 + ... + 1322991534.

It is an arithmetic number, because the mean of its divisors is an integer number (474096228970).

Almost surely, 2^{41103541344000} is an apocalyptic number.

41103541344000 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 41103541344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68269856971680).

41103541344000 is an abundant number, since it is smaller than the sum of its proper divisors (95436172599360).

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

41103541344000 is a wasteful number, since it uses less digits than its factorization.

41103541344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44884 (or 44860 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 41103541344000 its reverse (44314530114), we get a palindrome (41147855874114).

The spelling of 41103541344000 in words is "forty-one trillion, one hundred three billion, five hundred forty-one million, three hundred forty-four thousand".