43041450608640 has 1440 divisors, whose sum is σ = 171650059701120. Its totient is φ = 10306581626880.

The previous prime is 43041450608627. The next prime is 43041450608657. The reversal of 43041450608640 is 4680605414034.

43041450608640 is a `hidden beast` number, since 4 + 30 + 4 + 1 + 4 + 5 + 0 + 608 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 8330063337 + ... + 8330068503.

It is an arithmetic number, because the mean of its divisors is an integer number (119201430348).

Almost surely, 2^{43041450608640} is an apocalyptic number.

43041450608640 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 43041450608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85825029850560).

43041450608640 is an abundant number, since it is smaller than the sum of its proper divisors (128608609092480).

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

43041450608640 is a wasteful number, since it uses less digits than its factorization.

43041450608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 43041450608640 in words is "forty-three trillion, forty-one billion, four hundred fifty million, six hundred eight thousand, six hundred forty".