10142412211456 has 144 divisors (see below), whose sum is σ = 24417776073600. Its totient is φ = 4107380465664.

The previous prime is 10142412211429. The next prime is 10142412211489. The reversal of 10142412211456 is 65411221424101.

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, 12861786 + ... + 13627558.

It is an arithmetic number, because the mean of its divisors is an integer number (169567889400).

Almost surely, 2^{10142412211456} is an apocalyptic number.

10142412211456 is a gapful number since it is divisible by the number (16) 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 10142412211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208888036800).

10142412211456 is an abundant number, since it is smaller than the sum of its proper divisors (14275363862144).

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

10142412211456 is an equidigital number, since it uses as much as digits as its factorization.

10142412211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766204 (or 766190 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 10142412211456 its reverse (65411221424101), we get a palindrome (75553633635557).

The spelling of 10142412211456 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred eleven thousand, four hundred fifty-six".