1445340145440 has 192 divisors, whose sum is σ = 4713544483200. Its totient is φ = 371838910464.

The previous prime is 1445340145397. The next prime is 1445340145471. The reversal of 1445340145440 is 445410435441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17818896 + ... + 17899824.

It is an arithmetic number, because the mean of its divisors is an integer number (24549710850).

Almost surely, 2^{1445340145440} is an apocalyptic number.

1445340145440 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 1445340145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356772241600).

1445340145440 is an abundant number, since it is smaller than the sum of its proper divisors (3268204337760).

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

1445340145440 is a wasteful number, since it uses less digits than its factorization.

1445340145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82259 (or 82251 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 1445340145440 in words is "one trillion, four hundred forty-five billion, three hundred forty million, one hundred forty-five thousand, four hundred forty".