10142012123440 has 80 divisors (see below), whose sum is σ = 24828123621600. Its totient is φ = 3842222985216.

The previous prime is 10142012123417. The next prime is 10142012123461. The reversal of 10142012123440 is 4432121024101.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4568376 + ... + 6415144.

It is an arithmetic number, because the mean of its divisors is an integer number (310351545270).

Almost surely, 2^{10142012123440} is an apocalyptic number.

10142012123440 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 10142012123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414061810800).

10142012123440 is an abundant number, since it is smaller than the sum of its proper divisors (14686111498160).

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

10142012123440 is a wasteful number, since it uses less digits than its factorization.

10142012123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850414 (or 1850408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10142012123440 its reverse (4432121024101), we get a palindrome (14574133147541).

The spelling of 10142012123440 in words is "ten trillion, one hundred forty-two billion, twelve million, one hundred twenty-three thousand, four hundred forty".