43431917912064 has 432 divisors, whose sum is σ = 138136065107040. Its totient is φ = 13040017735680.

The previous prime is 43431917912023. The next prime is 43431917912111. The reversal of 43431917912064 is 46021971913434.

It is a happy number.

43431917912064 is a `hidden beast` number, since 4 + 34 + 319 + 1 + 7 + 91 + 206 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 43431917912064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414382599 + ... + 1414413305.

It is an arithmetic number, because the mean of its divisors is an integer number (319759409970).

Almost surely, 2^{43431917912064} is an apocalyptic number.

43431917912064 is a gapful number since it is divisible by the number (44) 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 43431917912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69068032553520).

43431917912064 is an abundant number, since it is smaller than the sum of its proper divisors (94704147194976).

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

43431917912064 is a wasteful number, since it uses less digits than its factorization.

43431917912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30867 (or 30832 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 43431917912064 in words is "forty-three trillion, four hundred thirty-one billion, nine hundred seventeen million, nine hundred twelve thousand, sixty-four".