1445340000 has 480 divisors, whose sum is σ = 5455628640. Its totient is φ = 331776000.

The previous prime is 1445339977. The next prime is 1445340031. The reversal of 1445340000 is 435441.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13259946 + ... + 13260054.

It is an arithmetic number, because the mean of its divisors is an integer number (11365893).

Almost surely, 2^1445340000 is an apocalyptic number.

1445340000 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 1445340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727814320).

1445340000 is an abundant number, since it is smaller than the sum of its proper divisors (4010288640).

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

1445340000 is a wasteful number, since it uses less digits than its factorization.

1445340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1445340000 is about 38017.6274904155. The cubic root of 1445340000 is about 1130.6373828622.

Adding to 1445340000 its reverse (435441), we get a palindrome (1445775441).

The spelling of 1445340000 in words is "one billion, four hundred forty-five million, three hundred forty thousand".