10420333123144 has 96 divisors (see below), whose sum is σ = 22810734112320. Its totient is φ = 4449627955584.

The previous prime is 10420333123139. The next prime is 10420333123163. The reversal of 10420333123144 is 44132133302401.

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 23 ways as a sum of consecutive naturals, for example, 155394087 + ... + 155461129.

It is an arithmetic number, because the mean of its divisors is an integer number (237611813670).

Almost surely, 2^{10420333123144} is an apocalyptic number.

10420333123144 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 10420333123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405367056160).

10420333123144 is an abundant number, since it is smaller than the sum of its proper divisors (12390400989176).

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

10420333123144 is a wasteful number, since it uses less digits than its factorization.

10420333123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68499 (or 68488 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 10420333123144 its reverse (44132133302401), we get a palindrome (54552466425545).

The spelling of 10420333123144 in words is "ten trillion, four hundred twenty billion, three hundred thirty-three million, one hundred twenty-three thousand, one hundred forty-four".