44244636428160 has 2048 divisors, whose sum is σ = 186491773440000. Its totient is φ = 10031526715392.

The previous prime is 44244636428129. The next prime is 44244636428197. The reversal of 44244636428160 is 6182463644244.

44244636428160 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 463 + 6 + 42 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44244636428097 and 44244636428106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75374167387 + ... + 75374167973.

It is an arithmetic number, because the mean of its divisors is an integer number (91060436250).

Almost surely, 2^{44244636428160} is an apocalyptic number.

44244636428160 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 44244636428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93245886720000).

44244636428160 is an abundant number, since it is smaller than the sum of its proper divisors (142247137011840).

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

44244636428160 is an frugal number, since it uses more digits than its factorization.

44244636428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 44244636428160 in words is "forty-four trillion, two hundred forty-four billion, six hundred thirty-six million, four hundred twenty-eight thousand, one hundred sixty".