41343233760 has 192 divisors, whose sum is σ = 144795893760. Its totient is φ = 11017658880.

The previous prime is 41343233753. The next prime is 41343233777. The reversal of 41343233760 is 6733234314.

41343233760 is a `hidden beast` number, since 413 + 4 + 3 + 233 + 7 + 6 + 0 = 666.

41343233760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11536929 + ... + 11540511.

It is an arithmetic number, because the mean of its divisors is an integer number (754145280).

Almost surely, 2^41343233760 is an apocalyptic number.

41343233760 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 41343233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72397946880).

41343233760 is an abundant number, since it is smaller than the sum of its proper divisors (103452660000).

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

41343233760 is a wasteful number, since it uses less digits than its factorization.

41343233760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 41343233760 in words is "forty-one billion, three hundred forty-three million, two hundred thirty-three thousand, seven hundred sixty".