1445355040 has 48 divisors (see below), whose sum is σ = 3417989400. Its totient is φ = 577576960.

The previous prime is 1445354957. The next prime is 1445355049. The reversal of 1445355040 is 405535441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1107824656 + 337530384 = 33284^2 + 18372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1445354993 and 1445355011.

It is not an unprimeable number, because it can be changed into a prime (1445355049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 185136 + ... + 192784.

Almost surely, 2^1445355040 is an apocalyptic number.

1445355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445355040 is an abundant number, since it is smaller than the sum of its proper divisors (1972634360).

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

1445355040 is a wasteful number, since it uses less digits than its factorization.

1445355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8845 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 1445355040 is about 38017.8252928807. The cubic root of 1445355040 is about 1130.6413045985.

The spelling of 1445355040 in words is "one billion, four hundred forty-five million, three hundred fifty-five thousand, forty".