1445405100240 has 160 divisors (see below), whose sum is σ = 4543444200960. Its totient is φ = 380066646528.

The previous prime is 1445405100203. The next prime is 1445405100247. The reversal of 1445405100240 is 420015045441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1445405100198 and 1445405100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445405100247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10348791 + ... + 10487529.

It is an arithmetic number, because the mean of its divisors is an integer number (28396526256).

Almost surely, 2^{1445405100240} is an apocalyptic number.

1445405100240 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 1445405100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271722100480).

1445405100240 is an abundant number, since it is smaller than the sum of its proper divisors (3098039100720).

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

1445405100240 is a wasteful number, since it uses less digits than its factorization.

1445405100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139361 (or 139355 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 1445405100240 in words is "one trillion, four hundred forty-five billion, four hundred five million, one hundred thousand, two hundred forty".