10200436044032 has 144 divisors (see below), whose sum is σ = 22076833932720. Its totient is φ = 4703662080000.

The previous prime is 10200436044011. The next prime is 10200436044059. The reversal of 10200436044032 is 23044063400201.

It can be written as a sum of positive squares in 8 ways, for example, as 10200000737536 + 435306496 = 3193744^2 + 20864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200436043986 and 10200436044004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675473282 + ... + 675488382.

It is an arithmetic number, because the mean of its divisors is an integer number (153311346755).

Almost surely, 2^{10200436044032} 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 10200436044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11038416966360).

10200436044032 is an abundant number, since it is smaller than the sum of its proper divisors (11876397888688).

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

10200436044032 is an equidigital number, since it uses as much as digits as its factorization.

10200436044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16357 (or 16317 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10200436044032 its reverse (23044063400201), we get a palindrome (33244499444233).

The spelling of 10200436044032 in words is "ten trillion, two hundred billion, four hundred thirty-six million, forty-four thousand, thirty-two".