41973743700000 has 1152 divisors, whose sum is σ = 175153989427200. Its totient is φ = 9578943360000.

The previous prime is 41973743699963. The next prime is 41973743700023. The reversal of 41973743700000 is 734737914.

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 191 ways as a sum of consecutive naturals, for example, 15857098677 + ... + 15857101323.

It is an arithmetic number, because the mean of its divisors is an integer number (152043393600).

Almost surely, 2^{41973743700000} is an apocalyptic number.

41973743700000 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 41973743700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87576994713600).

41973743700000 is an abundant number, since it is smaller than the sum of its proper divisors (133180245727200).

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

41973743700000 is an equidigital number, since it uses as much as digits as its factorization.

41973743700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 41973743700000 in words is "forty-one trillion, nine hundred seventy-three billion, seven hundred forty-three million, seven hundred thousand".