2404380834042 has 128 divisors (see below), whose sum is σ = 5457747029760. Its totient is φ = 699903959040.

The previous prime is 2404380833993. The next prime is 2404380834073.

2404380834042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2404380833985 and 2404380834003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34949134 + ... + 35017862.

It is an arithmetic number, because the mean of its divisors is an integer number (42638648670).

Almost surely, 2^{2404380834042} is an apocalyptic number.

2404380834042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404380834042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728873514880).

2404380834042 is an abundant number, since it is smaller than the sum of its proper divisors (3053366195718).

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

2404380834042 is a wasteful number, since it uses less digits than its factorization.

2404380834042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69008.

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 2404380834042 in words is "two trillion, four hundred four billion, three hundred eighty million, eight hundred thirty-four thousand, forty-two".