1010242241344 has 112 divisors (see below), whose sum is σ = 2306322649728. Its totient is φ = 430085818368.

The previous prime is 1010242241321. The next prime is 1010242241401. The reversal of 1010242241344 is 4431422420101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101292742 + ... + 101302714.

Almost surely, 2^{1010242241344} is an apocalyptic number.

1010242241344 is a gapful number since it is divisible by the number (14) 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 1010242241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153161324864).

1010242241344 is an abundant number, since it is smaller than the sum of its proper divisors (1296080408384).

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

1010242241344 is a wasteful number, since it uses less digits than its factorization.

1010242241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11462 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1010242241344 its reverse (4431422420101), we get a palindrome (5441664661445).

The spelling of 1010242241344 in words is "one trillion, ten billion, two hundred forty-two million, two hundred forty-one thousand, three hundred forty-four".