10033122401604 has 72 divisors (see below), whose sum is σ = 25428613817880. Its totient is φ = 3335525770752.

The previous prime is 10033122401579. The next prime is 10033122401609. The reversal of 10033122401604 is 40610422133001.

It is a happy number.

10033122401604 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 12 + 2 + 40 + 1 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178244396100 + 9854878005504 = 422190^2 + 3139248^2 .

It is not an unprimeable number, because it can be changed into a prime (10033122401609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332902024 + ... + 332932160.

It is an arithmetic number, because the mean of its divisors is an integer number (353175191915).

Almost surely, 2^{10033122401604} is an apocalyptic number.

It is an amenable number.

10033122401604 is an abundant number, since it is smaller than the sum of its proper divisors (15395491416276).

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

10033122401604 is a wasteful number, since it uses less digits than its factorization.

10033122401604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54309 (or 54304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10033122401604 its reverse (40610422133001), we get a palindrome (50643544534605).

The spelling of 10033122401604 in words is "ten trillion, thirty-three billion, one hundred twenty-two million, four hundred one thousand, six hundred four".