1405302034128 has 80 divisors (see below), whose sum is σ = 3761948594880. Its totient is φ = 451510355968.

The previous prime is 1405302034117. The next prime is 1405302034141. The reversal of 1405302034128 is 8214302035041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42825 + ... + 1677032.

It is an arithmetic number, because the mean of its divisors is an integer number (47024357436).

Almost surely, 2^{1405302034128} 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 1405302034128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880974297440).

1405302034128 is an abundant number, since it is smaller than the sum of its proper divisors (2356646560752).

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

1405302034128 is a wasteful number, since it uses less digits than its factorization.

1405302034128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720484 (or 1720478 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 1405302034128 its reverse (8214302035041), we get a palindrome (9619604069169).

The spelling of 1405302034128 in words is "one trillion, four hundred five billion, three hundred two million, thirty-four thousand, one hundred twenty-eight".