4042200333304 has 128 divisors (see below), whose sum is σ = 8839575360000. Its totient is φ = 1697046220800.

The previous prime is 4042200333299. The next prime is 4042200333307. The reversal of 4042200333304 is 4033330022404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042200333307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308577392 + ... + 1308580480.

It is an arithmetic number, because the mean of its divisors is an integer number (69059182500).

Almost surely, 2^{4042200333304} 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 4042200333304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419787680000).

4042200333304 is an abundant number, since it is smaller than the sum of its proper divisors (4797375026696).

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

4042200333304 is a wasteful number, since it uses less digits than its factorization.

4042200333304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 4042200333304 its reverse (4033330022404), we get a palindrome (8075530355708).

The spelling of 4042200333304 in words is "four trillion, forty-two billion, two hundred million, three hundred thirty-three thousand, three hundred four".