41202140144320 has 224 divisors, whose sum is σ = 100471565376000. Its totient is φ = 16089530671104.

The previous prime is 41202140144177. The next prime is 41202140144393. The reversal of 41202140144320 is 2344104120214.

41202140144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4791499381 + ... + 4791507979.

It is an arithmetic number, because the mean of its divisors is an integer number (448533774000).

Almost surely, 2^{41202140144320} is an apocalyptic number.

41202140144320 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 41202140144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50235782688000).

41202140144320 is an abundant number, since it is smaller than the sum of its proper divisors (59269425231680).

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

41202140144320 is a wasteful number, since it uses less digits than its factorization.

41202140144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10815 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41202140144320 its reverse (2344104120214), we get a palindrome (43546244264534).

The spelling of 41202140144320 in words is "forty-one trillion, two hundred two billion, one hundred forty million, one hundred forty-four thousand, three hundred twenty".