1405273350624 has 1152 divisors, whose sum is σ = 4978429102080. Its totient is φ = 342472458240.

The previous prime is 1405273350563. The next prime is 1405273350629. The reversal of 1405273350624 is 4260533725041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405273350629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2292452142 + ... + 2292452754.

It is an arithmetic number, because the mean of its divisors is an integer number (4321553040).

Almost surely, 2^{1405273350624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405273350624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489214551040).

1405273350624 is an abundant number, since it is smaller than the sum of its proper divisors (3573155751456).

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

1405273350624 is a wasteful number, since it uses less digits than its factorization.

1405273350624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 1405273350624 in words is "one trillion, four hundred five billion, two hundred seventy-three million, three hundred fifty thousand, six hundred twenty-four".