41141108736000 has 3648 divisors, whose sum is σ = 193191622565760. Its totient is φ = 8561413324800.

The previous prime is 41141108735983. The next prime is 41141108736019. The reversal of 41141108736000 is 63780114114.

41141108736000 is a `hidden beast` number, since 4 + 1 + 1 + 41 + 1 + 0 + 8 + 7 + 3 + 600 + 0 = 666.

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

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, 563576831964 + ... + 563576832036.

It is an arithmetic number, because the mean of its divisors is an integer number (52958229870).

Almost surely, 2^{41141108736000} is an apocalyptic number.

41141108736000 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 41141108736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96595811282880).

41141108736000 is an abundant number, since it is smaller than the sum of its proper divisors (152050513829760).

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

41141108736000 is an frugal number, since it uses more digits than its factorization.

41141108736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 41141108736000 in words is "forty-one trillion, one hundred forty-one billion, one hundred eight million, seven hundred thirty-six thousand".