43946380564128 has 1152 divisors, whose sum is σ = 161359091712000. Its totient is φ = 11293551360000.

The previous prime is 43946380564039. The next prime is 43946380564129. The reversal of 43946380564128 is 82146508364934.

43946380564128 is a `hidden beast` number, since 4 + 3 + 9 + 4 + 63 + 8 + 0 + 564 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (43946380564129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3083733003 + ... + 3083747253.

It is an arithmetic number, because the mean of its divisors is an integer number (140068656000).

Almost surely, 2^{43946380564128} is an apocalyptic number.

43946380564128 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 43946380564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80679545856000).

43946380564128 is an abundant number, since it is smaller than the sum of its proper divisors (117412711147872).

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

43946380564128 is a wasteful number, since it uses less digits than its factorization.

43946380564128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14391 (or 14366 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 43946380564128 in words is "forty-three trillion, nine hundred forty-six billion, three hundred eighty million, five hundred sixty-four thousand, one hundred twenty-eight".