41146098048 has 384 divisors, whose sum is σ = 133895024640. Its totient is φ = 12018585600.

The previous prime is 41146098023. The next prime is 41146098061. The reversal of 41146098048 is 84089064114.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 41146097994 and 41146098012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59545383 + ... + 59546073.

It is an arithmetic number, because the mean of its divisors is an integer number (348684960).

Almost surely, 2^41146098048 is an apocalyptic number.

41146098048 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 41146098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66947512320).

41146098048 is an abundant number, since it is smaller than the sum of its proper divisors (92748926592).

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

41146098048 is a wasteful number, since it uses less digits than its factorization.

41146098048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 41146098048 in words is "forty-one billion, one hundred forty-six million, ninety-eight thousand, forty-eight".