1445713920000 has 1800 divisors, whose sum is σ = 6259769932416. Its totient is φ = 326467584000.

The previous prime is 1445713919999. The next prime is 1445713920019. The reversal of 1445713920000 is 293175441.

1445713920000 is a `hidden beast` number, since 1 + 445 + 7 + 1 + 3 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17418239959 + ... + 17418240041.

Almost surely, 2^{1445713920000} is an apocalyptic number.

1445713920000 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 1445713920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129884966208).

1445713920000 is an abundant number, since it is smaller than the sum of its proper divisors (4814056012416).

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

1445713920000 is an frugal number, since it uses more digits than its factorization.

1445713920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1445713920000 in words is "one trillion, four hundred forty-five billion, seven hundred thirteen million, nine hundred twenty thousand".