41363187840000 has 2640 divisors, whose sum is σ = 171087228312000. Its totient is φ = 9913466880000.

The previous prime is 41363187839999. The next prime is 41363187840017. The reversal of 41363187840000 is 4878136314.

41363187840000 is a `hidden beast` number, since 4 + 1 + 3 + 63 + 187 + 8 + 400 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 82892159751 + ... + 82892160249.

It is an arithmetic number, because the mean of its divisors is an integer number (64805768300).

Almost surely, 2^{41363187840000} is an apocalyptic number.

41363187840000 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 41363187840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85543614156000).

41363187840000 is an abundant number, since it is smaller than the sum of its proper divisors (129724040472000).

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

41363187840000 is an equidigital number, since it uses as much as digits as its factorization.

41363187840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 41363187840000 in words is "forty-one trillion, three hundred sixty-three billion, one hundred eighty-seven million, eight hundred forty thousand".