41361314962320 has 1280 divisors, whose sum is σ = 159176154931200. Its totient is φ = 9833711247360.

The previous prime is 41361314962307. The next prime is 41361314962441. The reversal of 41361314962320 is 2326941316314.

41361314962320 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 1 + 3 + 14 + 9 + 623 + 2 + 0 = 666.

41361314962320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6983166879 + ... + 6983172801.

It is an arithmetic number, because the mean of its divisors is an integer number (124356371040).

Almost surely, 2^{41361314962320} is an apocalyptic number.

41361314962320 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 41361314962320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79588077465600).

41361314962320 is an abundant number, since it is smaller than the sum of its proper divisors (117814839968880).

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

41361314962320 is a wasteful number, since it uses less digits than its factorization.

41361314962320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 41361314962320 in words is "forty-one trillion, three hundred sixty-one billion, three hundred fourteen million, nine hundred sixty-two thousand, three hundred twenty".