10144200212040 has 128 divisors (see below), whose sum is σ = 30682155525120. Its totient is φ = 2682960633600.

The previous prime is 10144200211969. The next prime is 10144200212057. The reversal of 10144200212040 is 4021200244101.

10144200212040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10144200211998 and 10144200212016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27911085 + ... + 28272195.

It is an arithmetic number, because the mean of its divisors is an integer number (239704340040).

Almost surely, 2^{10144200212040} is an apocalyptic number.

10144200212040 is a gapful number since it is divisible by the number (10) 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 10144200212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341077762560).

10144200212040 is an abundant number, since it is smaller than the sum of its proper divisors (20537955313080).

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

10144200212040 is a wasteful number, since it uses less digits than its factorization.

10144200212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363043 (or 363039 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10144200212040 its reverse (4021200244101), we get a palindrome (14165400456141).

The spelling of 10144200212040 in words is "ten trillion, one hundred forty-four billion, two hundred million, two hundred twelve thousand, forty".