43721133120 has 1344 divisors, whose sum is σ = 194113221120. Its totient is φ = 8802533376.

The previous prime is 43721133119. The next prime is 43721133133. The reversal of 43721133120 is 2133112734.

It is a happy number.

43721133120 is a `hidden beast` number, since 437 + 211 + 3 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 526760599 + ... + 526760681.

It is an arithmetic number, because the mean of its divisors is an integer number (144429480).

Almost surely, 2^43721133120 is an apocalyptic number.

43721133120 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 43721133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97056610560).

43721133120 is an abundant number, since it is smaller than the sum of its proper divisors (150392088000).

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

43721133120 is a wasteful number, since it uses less digits than its factorization.

43721133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 43721133120 its reverse (2133112734), we get a palindrome (45854245854).

The spelling of 43721133120 in words is "forty-three billion, seven hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".