41645373981120 has 3584 divisors, whose sum is σ = 194919687782400. Its totient is φ = 8228237230080.

The previous prime is 41645373981007. The next prime is 41645373981179. The reversal of 41645373981120 is 2118937354614.

41645373981120 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 537 + 3 + 9 + 81 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 153672966585 + ... + 153672966855.

It is an arithmetic number, because the mean of its divisors is an integer number (54386073600).

It is a 1-persistent number, because it is pandigital, but 2⋅41645373981120 = 83290747962240 is not.

Almost surely, 2^{41645373981120} is an apocalyptic number.

41645373981120 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 41645373981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97459843891200).

41645373981120 is an abundant number, since it is smaller than the sum of its proper divisors (153274313801280).

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

41645373981120 is a wasteful number, since it uses less digits than its factorization.

41645373981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 41645373981120 in words is "forty-one trillion, six hundred forty-five billion, three hundred seventy-three million, nine hundred eighty-one thousand, one hundred twenty".