4022133100304 has 30 divisors (see below), whose sum is σ = 8565730775070. Its totient is φ = 1828242317440.

The previous prime is 4022133100289. The next prime is 4022133100309. The reversal of 4022133100304 is 4030013312204.

It can be written as a sum of positive squares in only one way, i.e., 2624659206400 + 1397473893904 = 1620080^2 + 1182148^2 .

It is a super-2 number, since 2×4022133100304² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4022133100304.

It is not an unprimeable number, because it can be changed into a prime (4022133100309) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1038772109 + ... + 1038775980.

It is an arithmetic number, because the mean of its divisors is an integer number (285524359169).

Almost surely, 2^{4022133100304} is an apocalyptic number.

4022133100304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4022133100304 is an abundant number, since it is smaller than the sum of its proper divisors (4543597674766).

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

4022133100304 is a wasteful number, since it uses less digits than its factorization.

4022133100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077548119 (or 2077548102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 4022133100304 its reverse (4030013312204), we get a palindrome (8052146412508).

The spelling of 4022133100304 in words is "four trillion, twenty-two billion, one hundred thirty-three million, one hundred thousand, three hundred four".