43641480960 has 432 divisors, whose sum is σ = 188257305600. Its totient is φ = 9068175360.

The previous prime is 43641480947. The next prime is 43641481001. The reversal of 43641480960 is 6908414634.

43641480960 is a `hidden beast` number, since 43 + 6 + 41 + 480 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862441 + ... + 911639.

It is an arithmetic number, because the mean of its divisors is an integer number (435780800).

Almost surely, 2^43641480960 is an apocalyptic number.

43641480960 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 43641480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94128652800).

43641480960 is an abundant number, since it is smaller than the sum of its proper divisors (144615824640).

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

43641480960 is a wasteful number, since it uses less digits than its factorization.

43641480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49244 (or 49227 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 43641480960 in words is "forty-three billion, six hundred forty-one million, four hundred eighty thousand, nine hundred sixty".