1445385150720 has 1296 divisors, whose sum is σ = 6198639632640. Its totient is φ = 315714060288.

The previous prime is 1445385150667. The next prime is 1445385150763. The reversal of 1445385150720 is 270515835441.

1445385150720 is a `hidden beast` number, since 1 + 4 + 45 + 3 + 85 + 1 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×1445385150720³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1352090346 + ... + 1352091414.

Almost surely, 2^{1445385150720} is an apocalyptic number.

1445385150720 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 1445385150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099319816320).

1445385150720 is an abundant number, since it is smaller than the sum of its proper divisors (4753254481920).

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

1445385150720 is an frugal number, since it uses more digits than its factorization.

1445385150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1445385150720 in words is "one trillion, four hundred forty-five billion, three hundred eighty-five million, one hundred fifty thousand, seven hundred twenty".