10035433522432 has 72 divisors (see below), whose sum is σ = 20771876512800. Its totient is φ = 4833128036352.

The previous prime is 10035433522379. The next prime is 10035433522453. The reversal of 10035433522432 is 23422533453001.

It is a junction number, because it is equal to n+sod(n) for n = 10035433522391 and 10035433522400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497583 + ... + 4723729.

It is an arithmetic number, because the mean of its divisors is an integer number (288498284900).

Almost surely, 2^{10035433522432} 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 10035433522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385938256400).

10035433522432 is an abundant number, since it is smaller than the sum of its proper divisors (10736442990368).

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

10035433522432 is an equidigital number, since it uses as much as digits as its factorization.

10035433522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226611 (or 3226597 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 10035433522432 its reverse (23422533453001), we get a palindrome (33457966975433).

The spelling of 10035433522432 in words is "ten trillion, thirty-five billion, four hundred thirty-three million, five hundred twenty-two thousand, four hundred thirty-two".