41827968000 has 2112 divisors, whose sum is σ = 203861548800. Its totient is φ = 8360755200.

The previous prime is 41827967957. The next prime is 41827968011. The reversal of 41827968000 is 86972814.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2201471991 + ... + 2201472009.

Almost surely, 2^41827968000 is an apocalyptic number.

41827968000 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 41827968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101930774400).

41827968000 is an abundant number, since it is smaller than the sum of its proper divisors (162033580800).

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

41827968000 is a wasteful number, since it uses less digits than its factorization.

41827968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41827968000 in words is "forty-one billion, eight hundred twenty-seven million, nine hundred sixty-eight thousand".