41126448000 has 768 divisors, whose sum is σ = 153473785920. Its totient is φ = 9732096000.

The previous prime is 41126447963. The next prime is 41126448007. The reversal of 41126448000 is 84462114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41126448007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423983952 + ... + 423984048.

Almost surely, 2^41126448000 is an apocalyptic number.

41126448000 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 41126448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76736892960).

41126448000 is an abundant number, since it is smaller than the sum of its proper divisors (112347337920).

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

41126448000 is a wasteful number, since it uses less digits than its factorization.

41126448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 41126448000 in words is "forty-one billion, one hundred twenty-six million, four hundred forty-eight thousand".