1445015040 has 160 divisors (see below), whose sum is σ = 5279662080. Its totient is φ = 330276864.

The previous prime is 1445014981. The next prime is 1445015041. The reversal of 1445015040 is 405105441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1445015040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445015041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40321 + ... + 67199.

It is an arithmetic number, because the mean of its divisors is an integer number (32997888).

Almost surely, 2^1445015040 is an apocalyptic number.

1445015040 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 1445015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639831040).

1445015040 is an abundant number, since it is smaller than the sum of its proper divisors (3834647040).

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

1445015040 is an equidigital number, since it uses as much as digits as its factorization.

1445015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26912 (or 26896 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1445015040 is about 38013.3534432310. The cubic root of 1445015040 is about 1130.5526416795.

The spelling of 1445015040 in words is "one billion, four hundred forty-five million, fifteen thousand, forty".