1445495040 has 648 divisors, whose sum is σ = 5916043224. Its totient is φ = 324403200.

The previous prime is 1445495033. The next prime is 1445495047. The reversal of 1445495040 is 405945441.

1445495040 is a `hidden beast` number, since 144 + 5 + 4 + 9 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1445495033) and next prime (1445495047).

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 1405350144 = 6336^2 + 37488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1445494986 and 1445495004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445495047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23696610 + ... + 23696670.

Almost surely, 2^1445495040 is an apocalyptic number.

1445495040 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 1445495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958021612).

1445495040 is an abundant number, since it is smaller than the sum of its proper divisors (4470548184).

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

1445495040 is a wasteful number, since it uses less digits than its factorization.

1445495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1445495040 is about 38019.6664898576. Note that the first 3 decimals coincide. The cubic root of 1445495040 is about 1130.6778088179.

The spelling of 1445495040 in words is "one billion, four hundred forty-five million, four hundred ninety-five thousand, forty".