1405042333104 has 80 divisors (see below), whose sum is σ = 3681650253152. Its totient is φ = 461651042304.

The previous prime is 1405042333087. The next prime is 1405042333117. The reversal of 1405042333104 is 4013332405041.

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 15 ways as a sum of consecutive naturals, for example, 5685132 + ... + 5927124.

Almost surely, 2^{1405042333104} 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 1405042333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840825126576).

1405042333104 is an abundant number, since it is smaller than the sum of its proper divisors (2276607920048).

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

1405042333104 is a wasteful number, since it uses less digits than its factorization.

1405042333104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243734 (or 243728 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1405042333104 its reverse (4013332405041), we get a palindrome (5418374738145).

The spelling of 1405042333104 in words is "one trillion, four hundred five billion, forty-two million, three hundred thirty-three thousand, one hundred four".