1008448143744 has 128 divisors (see below), whose sum is σ = 2721306862080. Its totient is φ = 330811176960.

The previous prime is 1008448143733. The next prime is 1008448143761. The reversal of 1008448143744 is 4473418448001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1008448143693 and 1008448143702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27278937 + ... + 27315879.

It is an arithmetic number, because the mean of its divisors is an integer number (21260209860).

Almost surely, 2^{1008448143744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008448143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360653431040).

1008448143744 is an abundant number, since it is smaller than the sum of its proper divisors (1712858718336).

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

1008448143744 is a wasteful number, since it uses less digits than its factorization.

1008448143744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38088 (or 38076 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 1008448143744 in words is "one trillion, eight billion, four hundred forty-eight million, one hundred forty-three thousand, seven hundred forty-four".