1144416418944 has 256 divisors, whose sum is σ = 3231948988800. Its totient is φ = 358155714560.

The previous prime is 1144416418939. The next prime is 1144416418949. The reversal of 1144416418944 is 4498146144411.

It is an interprime number because it is at equal distance from previous prime (1144416418939) and next prime (1144416418949).

It is not an unprimeable number, because it can be changed into a prime (1144416418949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144730639 + ... + 144738545.

Almost surely, 2^{1144416418944} 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 1144416418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615974494400).

1144416418944 is an abundant number, since it is smaller than the sum of its proper divisors (2087532569856).

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

1144416418944 is a wasteful number, since it uses less digits than its factorization.

1144416418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8299 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The spelling of 1144416418944 in words is "one trillion, one hundred forty-four billion, four hundred sixteen million, four hundred eighteen thousand, nine hundred forty-four".