44828979243840 has 2016 divisors, whose sum is σ = 184062914949888. Its totient is φ = 9910679961600.

The previous prime is 44828979243823. The next prime is 44828979243899. The reversal of 44828979243840 is 4834297982844.

44828979243840 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 89 + 79 + 2 + 438 + 40 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 51116281482 + ... + 51116282358.

Almost surely, 2^{44828979243840} is an apocalyptic number.

44828979243840 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 44828979243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92031457474944).

44828979243840 is an abundant number, since it is smaller than the sum of its proper divisors (139233935706048).

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

44828979243840 is a wasteful number, since it uses less digits than its factorization.

44828979243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 44828979243840 in words is "forty-four trillion, eight hundred twenty-eight billion, nine hundred seventy-nine million, two hundred forty-three thousand, eight hundred forty".