41518833664000 has 816 divisors, whose sum is σ = 131522463049536. Its totient is φ = 12939558912000.

The previous prime is 41518833663997. The next prime is 41518833664003. The reversal of 41518833664000 is 46633881514.

It is an interprime number because it is at equal distance from previous prime (41518833663997) and next prime (41518833664003).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41518833664003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4415483299 + ... + 4415492701.

Almost surely, 2^{41518833664000} is an apocalyptic number.

41518833664000 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 41518833664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65761231524768).

41518833664000 is an abundant number, since it is smaller than the sum of its proper divisors (90003629385536).

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

41518833664000 is an frugal number, since it uses more digits than its factorization.

41518833664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475 (or 9428 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 41518833664000 in words is "forty-one trillion, five hundred eighteen billion, eight hundred thirty-three million, six hundred sixty-four thousand".