1445109017940 has 768 divisors, whose sum is σ = 5567844925440. Its totient is φ = 303681208320.

The previous prime is 1445109017899. The next prime is 1445109017969. The reversal of 1445109017940 is 497109015441.

1445109017940 is a `hidden beast` number, since 1 + 4 + 4 + 510 + 90 + 1 + 7 + 9 + 40 = 666.

It is a super-2 number, since 2×1445109017940² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 515556579 + ... + 515559381.

It is an arithmetic number, because the mean of its divisors is an integer number (7249798080).

Almost surely, 2^{1445109017940} is an apocalyptic number.

1445109017940 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 1445109017940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783922462720).

1445109017940 is an abundant number, since it is smaller than the sum of its proper divisors (4122735907500).

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

1445109017940 is a wasteful number, since it uses less digits than its factorization.

1445109017940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1445109017940 in words is "one trillion, four hundred forty-five billion, one hundred nine million, seventeen thousand, nine hundred forty".