4042334332404 has 36 divisors (see below), whose sum is σ = 10261977521796. Its totient is φ = 1341661749888.

The previous prime is 4042334332367. The next prime is 4042334332471.

4042334332404 is a `hidden beast` number, since 40 + 42 + 334 + 3 + 3 + 240 + 4 = 666.

4042334332404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 625677836004 + 3416656496400 = 790998^2 + 1848420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240950979 + ... + 240967754.

It is an arithmetic number, because the mean of its divisors is an integer number (285054931161).

Almost surely, 2^{4042334332404} is an apocalyptic number.

It is an amenable number.

4042334332404 is an abundant number, since it is smaller than the sum of its proper divisors (6219643189392).

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

4042334332404 is a wasteful number, since it uses less digits than its factorization.

4042334332404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481918976 (or 481918971 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 4042334332404 in words is "four trillion, forty-two billion, three hundred thirty-four million, three hundred thirty-two thousand, four hundred four".