41331114639360 has 3840 divisors, whose sum is σ = 196984192204800. Its totient is φ = 8072189706240.

The previous prime is 41331114639277. The next prime is 41331114639401. The reversal of 41331114639360 is 6393641113314.

41331114639360 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 1 + 1 + 4 + 639 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×41331114639360² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1333261762545 + ... + 1333261762575.

It is an arithmetic number, because the mean of its divisors is an integer number (51297966720).

Almost surely, 2^{41331114639360} is an apocalyptic number.

41331114639360 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 41331114639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98492096102400).

41331114639360 is an abundant number, since it is smaller than the sum of its proper divisors (155653077565440).

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

41331114639360 is an frugal number, since it uses more digits than its factorization.

41331114639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 41331114639360 in words is "forty-one trillion, three hundred thirty-one billion, one hundred fourteen million, six hundred thirty-nine thousand, three hundred sixty".