43418881920 has 512 divisors, whose sum is σ = 147660226560. Its totient is φ = 10838016000.

The previous prime is 43418881873. The next prime is 43418881921. The reversal of 43418881920 is 2918881434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 43418881920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43418881921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341880897 + ... + 341881023.

It is an arithmetic number, because the mean of its divisors is an integer number (288398880).

Almost surely, 2^43418881920 is an apocalyptic number.

43418881920 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 43418881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73830113280).

43418881920 is an abundant number, since it is smaller than the sum of its proper divisors (104241344640).

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

43418881920 is a wasteful number, since it uses less digits than its factorization.

43418881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 43418881920 in words is "forty-three billion, four hundred eighteen million, eight hundred eighty-one thousand, nine hundred twenty".