41981442048 has 768 divisors, whose sum is σ = 156451276800. Its totient is φ = 10964533248.

The previous prime is 41981442011. The next prime is 41981442067. The reversal of 41981442048 is 84024418914.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 41981441994 and 41981442012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407586765 + ... + 407586867.

It is an arithmetic number, because the mean of its divisors is an integer number (203712600).

Almost surely, 2^41981442048 is an apocalyptic number.

41981442048 is a gapful number since it is divisible by the number (48) 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 41981442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78225638400).

41981442048 is an abundant number, since it is smaller than the sum of its proper divisors (114469834752).

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

41981442048 is an equidigital number, since it uses as much as digits as its factorization.

41981442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 41981442048 in words is "forty-one billion, nine hundred eighty-one million, four hundred forty-two thousand, forty-eight".