1444316501040 has 320 divisors, whose sum is σ = 5332544409600. Its totient is φ = 323104588800.

The previous prime is 1444316501027. The next prime is 1444316501051. The reversal of 1444316501040 is 401056134441.

It is a junction number, because it is equal to n+sod(n) for n = 1444316500992 and 1444316501010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3682390 + ... + 4055690.

It is an arithmetic number, because the mean of its divisors is an integer number (16664201280).

Almost surely, 2^{1444316501040} is an apocalyptic number.

1444316501040 is a gapful number since it is divisible by the number (10) 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 1444316501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666272204800).

1444316501040 is an abundant number, since it is smaller than the sum of its proper divisors (3888227908560).

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

1444316501040 is a wasteful number, since it uses less digits than its factorization.

1444316501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373385 (or 373365 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 1444316501040 in words is "one trillion, four hundred forty-four billion, three hundred sixteen million, five hundred one thousand, forty".