43427440224 has 192 divisors, whose sum is σ = 145052812800. Its totient is φ = 12382585344.

The previous prime is 43427440201. The next prime is 43427440241. The reversal of 43427440224 is 42204472434.

43427440224 is a `hidden beast` number, since 4 + 3 + 427 + 4 + 4 + 0 + 224 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3071379 + ... + 3085485.

It is an arithmetic number, because the mean of its divisors is an integer number (755483400).

Almost surely, 2^43427440224 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 43427440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72526406400).

43427440224 is an abundant number, since it is smaller than the sum of its proper divisors (101625372576).

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

43427440224 is a wasteful number, since it uses less digits than its factorization.

43427440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14642 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

The spelling of 43427440224 in words is "forty-three billion, four hundred twenty-seven million, four hundred forty thousand, two hundred twenty-four".