44879829136128 has 432 divisors, whose sum is σ = 156610667094336. Its totient is φ = 12066501427200.

The previous prime is 44879829136117. The next prime is 44879829136169. The reversal of 44879829136128 is 82163192897844.

It is a happy number.

44879829136128 is a `hidden beast` number, since 4 + 4 + 87 + 9 + 82 + 91 + 361 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2399853178 + ... + 2399871878.

It is an arithmetic number, because the mean of its divisors is an integer number (362524692348).

Almost surely, 2^{44879829136128} is an apocalyptic number.

44879829136128 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 44879829136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78305333547168).

44879829136128 is an abundant number, since it is smaller than the sum of its proper divisors (111730837958208).

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

44879829136128 is a wasteful number, since it uses less digits than its factorization.

44879829136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27500 (or 27483 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 44879829136128 in words is "forty-four trillion, eight hundred seventy-nine billion, eight hundred twenty-nine million, one hundred thirty-six thousand, one hundred twenty-eight".