10233034210404 has 120 divisors (see below), whose sum is σ = 28232658263040. Its totient is φ = 3223046448576.

The previous prime is 10233034210397. The next prime is 10233034210463. The reversal of 10233034210404 is 40401243033201.

10233034210404 is a `hidden beast` number, since 1 + 0 + 233 + 0 + 3 + 4 + 21 + 0 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187662 + ... + 4527834.

It is an arithmetic number, because the mean of its divisors is an integer number (235272152192).

Almost surely, 2^{10233034210404} 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 10233034210404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116329131520).

10233034210404 is an abundant number, since it is smaller than the sum of its proper divisors (17999624052636).

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

10233034210404 is a wasteful number, since it uses less digits than its factorization.

10233034210404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340591 (or 4340580 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10233034210404 its reverse (40401243033201), we get a palindrome (50634277243605).

The spelling of 10233034210404 in words is "ten trillion, two hundred thirty-three billion, thirty-four million, two hundred ten thousand, four hundred four".