10142214332140 has 96 divisors (see below), whose sum is σ = 23338950453504. Its totient is φ = 3671587349760.

The previous prime is 10142214332119. The next prime is 10142214332143. The reversal of 10142214332140 is 4123341224101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10142214332099 and 10142214332108.

It is not an unprimeable number, because it can be changed into a prime (10142214332143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60960547 + ... + 61126693.

It is an arithmetic number, because the mean of its divisors is an integer number (243114067224).

Almost surely, 2^{10142214332140} is an apocalyptic number.

10142214332140 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 10142214332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11669475226752).

10142214332140 is an abundant number, since it is smaller than the sum of its proper divisors (13196736121364).

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

10142214332140 is a wasteful number, since it uses less digits than its factorization.

10142214332140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167407 (or 167405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10142214332140 its reverse (4123341224101), we get a palindrome (14265555556241).

The spelling of 10142214332140 in words is "ten trillion, one hundred forty-two billion, two hundred fourteen million, three hundred thirty-two thousand, one hundred forty".