43218083803104 has 1152 divisors, whose sum is σ = 157963199127552. Its totient is φ = 10925834895360.

The previous prime is 43218083803049. The next prime is 43218083803207. The reversal of 43218083803104 is 40130838081234.

43218083803104 is a `hidden beast` number, since 4 + 3 + 2 + 180 + 83 + 80 + 310 + 4 = 666.

It is a super-2 number, since 2×43218083803104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43218083803104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5196350754 + ... + 5196359070.

It is an arithmetic number, because the mean of its divisors is an integer number (137120832576).

Almost surely, 2^{43218083803104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43218083803104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78981599563776).

43218083803104 is an abundant number, since it is smaller than the sum of its proper divisors (114745115324448).

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

43218083803104 is a wasteful number, since it uses less digits than its factorization.

43218083803104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8528 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 43218083803104 in words is "forty-three trillion, two hundred eighteen billion, eighty-three million, eight hundred three thousand, one hundred four".