200144411400032 has 96 divisors (see below), whose sum is σ = 436791399125760. Its totient is φ = 89510077831680.

The previous prime is 200144411400019. The next prime is 200144411400041. The reversal of 200144411400032 is 230004114441002.

It is a junction number, because it is equal to n+sod(n) for n = 200144411399974 and 200144411400010.

It is a congruent number.

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, 14729498 + ... + 24844454.

It is an arithmetic number, because the mean of its divisors is an integer number (4549910407560).

Almost surely, 2^{200144411400032} is an apocalyptic number.

200144411400032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200144411400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218395699562880).

200144411400032 is an abundant number, since it is smaller than the sum of its proper divisors (236646987725728).

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

200144411400032 is a wasteful number, since it uses less digits than its factorization.

200144411400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115884 (or 10115876 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 200144411400032 its reverse (230004114441002), we get a palindrome (430148525841034).

The spelling of 200144411400032 in words is "two hundred trillion, one hundred forty-four billion, four hundred eleven million, four hundred thousand, thirty-two".