44819789447680 has 480 divisors, whose sum is σ = 125096348678400. Its totient is φ = 15344149856256.

The previous prime is 44819789447677. The next prime is 44819789447681. The reversal of 44819789447680 is 8674498791844.

It is a super-2 number, since 2×44819789447680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44819789447680.

It is not an unprimeable number, because it can be changed into a prime (44819789447681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386289516 + ... + 386405524.

It is an arithmetic number, because the mean of its divisors is an integer number (260617393080).

Almost surely, 2^{44819789447680} is an apocalyptic number.

44819789447680 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 44819789447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62548174339200).

44819789447680 is an abundant number, since it is smaller than the sum of its proper divisors (80276559230720).

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

44819789447680 is a wasteful number, since it uses less digits than its factorization.

44819789447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116124 (or 116095 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 79.

The spelling of 44819789447680 in words is "forty-four trillion, eight hundred nineteen billion, seven hundred eighty-nine million, four hundred forty-seven thousand, six hundred eighty".