41130621544320 has 2304 divisors, whose sum is σ = 183583284468480. Its totient is φ = 8389181767680.

The previous prime is 41130621544289. The next prime is 41130621544339. The reversal of 41130621544320 is 2344512603114.

41130621544320 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 0 + 6 + 215 + 4 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78643635579 + ... + 78643636101.

It is an arithmetic number, because the mean of its divisors is an integer number (79680244995).

Almost surely, 2^{41130621544320} is an apocalyptic number.

41130621544320 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 41130621544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91791642234240).

41130621544320 is an abundant number, since it is smaller than the sum of its proper divisors (142452662924160).

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

41130621544320 is a wasteful number, since it uses less digits than its factorization.

41130621544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 41130621544320 in words is "forty-one trillion, one hundred thirty billion, six hundred twenty-one million, five hundred forty-four thousand, three hundred twenty".