43728441456 has 160 divisors (see below), whose sum is σ = 132172096000. Its totient is φ = 12199818240.

The previous prime is 43728441443. The next prime is 43728441469. The reversal of 43728441456 is 65414482734.

It is an interprime number because it is at equal distance from previous prime (43728441443) and next prime (43728441469).

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

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, 2841270 + ... + 2856618.

It is an arithmetic number, because the mean of its divisors is an integer number (826075600).

Almost surely, 2^43728441456 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 43728441456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66086048000).

43728441456 is an abundant number, since it is smaller than the sum of its proper divisors (88443654544).

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

43728441456 is a wasteful number, since it uses less digits than its factorization.

43728441456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15567 (or 15561 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The spelling of 43728441456 in words is "forty-three billion, seven hundred twenty-eight million, four hundred forty-one thousand, four hundred fifty-six".