1445726241792 has 264 divisors, whose sum is σ = 4775673926400. Its totient is φ = 412647948288.

The previous prime is 1445726241769. The next prime is 1445726241823. The reversal of 1445726241792 is 2971426275441.

It is a happy number.

1445726241792 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 7 + 2 + 624 + 1 + 7 + 9 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67017184 + ... + 67038752.

Almost surely, 2^{1445726241792} is an apocalyptic number.

1445726241792 is a gapful number since it is divisible by the number (12) 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 1445726241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387836963200).

1445726241792 is an abundant number, since it is smaller than the sum of its proper divisors (3329947684608).

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

1445726241792 is a wasteful number, since it uses less digits than its factorization.

1445726241792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22641 (or 22620 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 1445726241792 in words is "one trillion, four hundred forty-five billion, seven hundred twenty-six million, two hundred forty-one thousand, seven hundred ninety-two".