1444739226084 has 1152 divisors, whose sum is σ = 5107616317440. Its totient is φ = 335899872000.

The previous prime is 1444739226067. The next prime is 1444739226097. The reversal of 1444739226084 is 4806229374441.

1444739226084 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 7 + 3 + 9 + 22 + 608 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1444739226084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14026594377 + ... + 14026594479.

It is an arithmetic number, because the mean of its divisors is an integer number (4433694720).

Almost surely, 2^{1444739226084} is an apocalyptic number.

1444739226084 is a gapful number since it is divisible by the number (14) 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 1444739226084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553808158720).

1444739226084 is an abundant number, since it is smaller than the sum of its proper divisors (3662877091356).

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

1444739226084 is a wasteful number, since it uses less digits than its factorization.

1444739226084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 1444739226084 in words is "one trillion, four hundred forty-four billion, seven hundred thirty-nine million, two hundred twenty-six thousand, eighty-four".