41660368041600 has 2304 divisors, whose sum is σ = 201030280738560. Its totient is φ = 7948468224000.

The previous prime is 41660368041553. The next prime is 41660368041667. The reversal of 41660368041600 is 614086306614.

41660368041600 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 0 + 36 + 8 + 0 + 4 + 1 + 600 = 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 287 ways as a sum of consecutive naturals, for example, 1545653724 + ... + 1545680676.

It is an arithmetic number, because the mean of its divisors is an integer number (87252726015).

Almost surely, 2^{41660368041600} is an apocalyptic number.

41660368041600 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 41660368041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100515140369280).

41660368041600 is an abundant number, since it is smaller than the sum of its proper divisors (159369912696960).

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

41660368041600 is a wasteful number, since it uses less digits than its factorization.

41660368041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27059 (or 27039 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 41660368041600 in words is "forty-one trillion, six hundred sixty billion, three hundred sixty-eight million, forty-one thousand, six hundred".