1445456511440 has 160 divisors (see below), whose sum is σ = 3560847091200. Its totient is φ = 544578895872.

The previous prime is 1445456511439. The next prime is 1445456511553. The reversal of 1445456511440 is 441156545441.

It is a junction number, because it is equal to n+sod(n) for n = 1445456511391 and 1445456511400.

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, 35497172 + ... + 35537868.

It is an arithmetic number, because the mean of its divisors is an integer number (22255294320).

Almost surely, 2^{1445456511440} is an apocalyptic number.

1445456511440 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 1445456511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780423545600).

1445456511440 is an abundant number, since it is smaller than the sum of its proper divisors (2115390579760).

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

1445456511440 is a wasteful number, since it uses less digits than its factorization.

1445456511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41029 (or 41023 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 44.

The spelling of 1445456511440 in words is "one trillion, four hundred forty-five billion, four hundred fifty-six million, five hundred eleven thousand, four hundred forty".