41448388800 has 672 divisors, whose sum is σ = 172821827584. Its totient is φ = 8460288000.

The previous prime is 41448388783. The next prime is 41448388801. The reversal of 41448388800 is 888384414.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41448388800.

It is not an unprimeable number, because it can be changed into a prime (41448388801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13539270 + ... + 13542330.

Almost surely, 2^41448388800 is an apocalyptic number.

41448388800 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 41448388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86410913792).

41448388800 is an abundant number, since it is smaller than the sum of its proper divisors (131373438784).

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

41448388800 is a wasteful number, since it uses less digits than its factorization.

41448388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 41448388800 in words is "forty-one billion, four hundred forty-eight million, three hundred eighty-eight thousand, eight hundred".