43120633680 has 240 divisors, whose sum is σ = 151911991296. Its totient is φ = 10940497920.

The previous prime is 43120633679. The next prime is 43120633727. The reversal of 43120633680 is 8633602134.

43120633680 is a `hidden beast` number, since 4 + 3 + 12 + 0 + 633 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3156144 + ... + 3169776.

Almost surely, 2^43120633680 is an apocalyptic number.

43120633680 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 43120633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75955995648).

43120633680 is an abundant number, since it is smaller than the sum of its proper divisors (108791357616).

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

43120633680 is a wasteful number, since it uses less digits than its factorization.

43120633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13857 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 43120633680 in words is "forty-three billion, one hundred twenty million, six hundred thirty-three thousand, six hundred eighty".