1440001168848 has 960 divisors, whose sum is σ = 4913685504000. Its totient is φ = 404103168000.

The previous prime is 1440001168829. The next prime is 1440001168861. The reversal of 1440001168848 is 8488611000441.

1440001168848 is a `hidden beast` number, since 1 + 4 + 400 + 0 + 1 + 168 + 84 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3207129328 + ... + 3207129776.

It is an arithmetic number, because the mean of its divisors is an integer number (5118422400).

Almost surely, 2^{1440001168848} is an apocalyptic number.

1440001168848 is a gapful number since it is divisible by the number (18) 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 1440001168848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456842752000).

1440001168848 is an abundant number, since it is smaller than the sum of its proper divisors (3473684335152).

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

1440001168848 is a wasteful number, since it uses less digits than its factorization.

1440001168848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1440001168848 in words is "one trillion, four hundred forty billion, one million, one hundred sixty-eight thousand, eight hundred forty-eight".