41343644160 has 1200 divisors, whose sum is σ = 186099323256. Its totient is φ = 8695185408.

The previous prime is 41343644123. The next prime is 41343644191. The reversal of 41343644160 is 6144634314.

41343644160 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 3 + 644 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11632916736 + 29710727424 = 107856^2 + 172368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132088164 + ... + 132088476.

Almost surely, 2^41343644160 is an apocalyptic number.

41343644160 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 41343644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93049661628).

41343644160 is an abundant number, since it is smaller than the sum of its proper divisors (144755679096).

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

41343644160 is a wasteful number, since it uses less digits than its factorization.

41343644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 41343644160 in words is "forty-one billion, three hundred forty-three million, six hundred forty-four thousand, one hundred sixty".