41080012800 has 360 divisors, whose sum is σ = 137593089312. Its totient is φ = 10813440000.

The previous prime is 41080012781. The next prime is 41080012801. The reversal of 41080012800 is 821008014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41080012801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124108635 + ... + 124108965.

Almost surely, 2^41080012800 is an apocalyptic number.

41080012800 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 41080012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796544656).

41080012800 is an abundant number, since it is smaller than the sum of its proper divisors (96513076512).

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

41080012800 is a wasteful number, since it uses less digits than its factorization.

41080012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 41080012800 in words is "forty-one billion, eighty million, twelve thousand, eight hundred".