44268784128 has 180 divisors, whose sum is σ = 130568917050. Its totient is φ = 14438977536.

The previous prime is 44268784127. The next prime is 44268784151. The reversal of 44268784128 is 82148786244.

44268784128 is a `hidden beast` number, since 442 + 6 + 8 + 78 + 4 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44019396864 + 249387264 = 209808^2 + 15792^2 .

It is not an unprimeable number, because it can be changed into a prime (44268784127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10176898 + ... + 10181246.

Almost surely, 2^44268784128 is an apocalyptic number.

44268784128 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 44268784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65284458525).

44268784128 is an abundant number, since it is smaller than the sum of its proper divisors (86300132922).

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

44268784128 is an equidigital number, since it uses as much as digits as its factorization.

44268784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4401 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 44268784128 in words is "forty-four billion, two hundred sixty-eight million, seven hundred eighty-four thousand, one hundred twenty-eight".