41681446560000 has 1800 divisors, whose sum is σ = 169596450232440. Its totient is φ = 10116513792000.

The previous prime is 41681446559989. The next prime is 41681446560037. The reversal of 41681446560000 is 6564418614.

41681446560000 is a `hidden beast` number, since 4 + 1 + 6 + 81 + 4 + 4 + 6 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 39044901982464 + 2636544577536 = 6248592^2 + 1623744^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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 199 ways as a sum of consecutive naturals, for example, 12299038306 + ... + 12299041694.

Almost surely, 2^{41681446560000} is an apocalyptic number.

41681446560000 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 41681446560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84798225116220).

41681446560000 is an abundant number, since it is smaller than the sum of its proper divisors (127915003672440).

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

41681446560000 is an equidigital number, since it uses as much as digits as its factorization.

41681446560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 41681446560000 in words is "forty-one trillion, six hundred eighty-one billion, four hundred forty-six million, five hundred sixty thousand".