43290920448 has 240 divisors, whose sum is σ = 130069539600. Its totient is φ = 14374526976.

The previous prime is 43290920441. The next prime is 43290920471. The reversal of 43290920448 is 84402909234.

It is a happy number.

43290920448 is a `hidden beast` number, since 4 + 32 + 90 + 92 + 0 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43290920441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43420686 + ... + 43421682.

It is an arithmetic number, because the mean of its divisors is an integer number (541956415).

Almost surely, 2^43290920448 is an apocalyptic number.

43290920448 is a gapful number since it is divisible by the number (48) 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 43290920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65034769800).

43290920448 is an abundant number, since it is smaller than the sum of its proper divisors (86778619152).

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

43290920448 is an frugal number, since it uses more digits than its factorization.

43290920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 43290920448 in words is "forty-three billion, two hundred ninety million, nine hundred twenty thousand, four hundred forty-eight".