43212958064640 has 4480 divisors, whose sum is σ = 204615858585600. Its totient is φ = 8652378341376.

The previous prime is 43212958064621. The next prime is 43212958064681. The reversal of 43212958064640 is 4646085921234.

43212958064640 is a `hidden beast` number, since 4 + 3 + 2 + 12 + 9 + 580 + 6 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 340259512257 + ... + 340259512383.

It is an arithmetic number, because the mean of its divisors is an integer number (45673182720).

Almost surely, 2^{43212958064640} is an apocalyptic number.

43212958064640 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 43212958064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102307929292800).

43212958064640 is an abundant number, since it is smaller than the sum of its proper divisors (161402900520960).

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

43212958064640 is a wasteful number, since it uses less digits than its factorization.

43212958064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 43212958064640 in words is "forty-three trillion, two hundred twelve billion, nine hundred fifty-eight million, sixty-four thousand, six hundred forty".