41073187821120 has 2688 divisors, whose sum is σ = 184581518446080. Its totient is φ = 8521281699840.

The previous prime is 41073187821103. The next prime is 41073187821167. The reversal of 41073187821120 is 2112878137014.

It is a happy number.

41073187821120 is a `hidden beast` number, since 410 + 7 + 3 + 18 + 7 + 8 + 211 + 2 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 131224242084 + ... + 131224242396.

It is an arithmetic number, because the mean of its divisors is an integer number (68668719660).

Almost surely, 2^{41073187821120} is an apocalyptic number.

41073187821120 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 41073187821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92290759223040).

41073187821120 is an abundant number, since it is smaller than the sum of its proper divisors (143508330624960).

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

41073187821120 is a wasteful number, since it uses less digits than its factorization.

41073187821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 41073187821120 in words is "forty-one trillion, seventy-three billion, one hundred eighty-seven million, eight hundred twenty-one thousand, one hundred twenty".