1444301342040 has 128 divisors (see below), whose sum is σ = 4353398784000. Its totient is φ = 383326499328.

The previous prime is 1444301342039. The next prime is 1444301342053. The reversal of 1444301342040 is 402431034441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1444301341989 and 1444301342007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92297497 + ... + 92313143.

It is an arithmetic number, because the mean of its divisors is an integer number (34010928000).

Almost surely, 2^{1444301342040} is an apocalyptic number.

1444301342040 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 1444301342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176699392000).

1444301342040 is an abundant number, since it is smaller than the sum of its proper divisors (2909097441960).

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

1444301342040 is a wasteful number, since it uses less digits than its factorization.

1444301342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19249 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1444301342040 its reverse (402431034441), we get a palindrome (1846732376481).

The spelling of 1444301342040 in words is "one trillion, four hundred forty-four billion, three hundred one million, three hundred forty-two thousand, forty".