1405273453440 has 512 divisors, whose sum is σ = 4843497254400. Its totient is φ = 345280610304.

The previous prime is 1405273453403. The next prime is 1405273453453. The reversal of 1405273453440 is 443543725041.

It is a junction number, because it is equal to n+sod(n) for n = 1405273453392 and 1405273453401.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 331195959 + ... + 331200201.

It is an arithmetic number, because the mean of its divisors is an integer number (9459955575).

Almost surely, 2^{1405273453440} is an apocalyptic number.

1405273453440 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 1405273453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421748627200).

1405273453440 is an abundant number, since it is smaller than the sum of its proper divisors (3438223800960).

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

1405273453440 is a wasteful number, since it uses less digits than its factorization.

1405273453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 1405273453440 in words is "one trillion, four hundred five billion, two hundred seventy-three million, four hundred fifty-three thousand, four hundred forty".