10144242240000 has 800 divisors, whose sum is σ = 37110744760320. Its totient is φ = 2441164800000.

The previous prime is 10144242239987. The next prime is 10144242240031. The reversal of 10144242240000 is 4224244101.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1467836545 + ... + 1467843455.

Almost surely, 2^{10144242240000} is an apocalyptic number.

10144242240000 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 10144242240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18555372380160).

10144242240000 is an abundant number, since it is smaller than the sum of its proper divisors (26966502520320).

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

10144242240000 is an equidigital number, since it uses as much as digits as its factorization.

10144242240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10144242240000 its reverse (4224244101), we get a palindrome (10148466484101).

The spelling of 10144242240000 in words is "ten trillion, one hundred forty-four billion, two hundred forty-two million, two hundred forty thousand".