10244144114000 has 160 divisors (see below), whose sum is σ = 25404882197760. Its totient is φ = 3993712320000.

The previous prime is 10244144113999. The next prime is 10244144114003. The reversal of 10244144114000 is 41144144201.

It is a super-3 number, since 3×10244144114000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244144114003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15685991 + ... + 16326009.

It is an arithmetic number, because the mean of its divisors is an integer number (158780513736).

Almost surely, 2^{10244144114000} is an apocalyptic number.

10244144114000 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 10244144114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702441098880).

10244144114000 is an abundant number, since it is smaller than the sum of its proper divisors (15160738083760).

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

10244144114000 is a wasteful number, since it uses less digits than its factorization.

10244144114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640246 (or 640230 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 10244144114000 its reverse (41144144201), we get a palindrome (10285288258201).

The spelling of 10244144114000 in words is "ten trillion, two hundred forty-four billion, one hundred forty-four million, one hundred fourteen thousand".