142242040420100 has 144 divisors (see below), whose sum is σ = 312827393765376. Its totient is φ = 56135390976000.

The previous prime is 142242040420091. The next prime is 142242040420141. The reversal of 142242040420100 is 1024040242241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 142242040420100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795016480 + ... + 1795095720.

It is an arithmetic number, because the mean of its divisors is an integer number (2172412456704).

Almost surely, 2^{142242040420100} is an apocalyptic number.

142242040420100 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 142242040420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156413696882688).

142242040420100 is an abundant number, since it is smaller than the sum of its proper divisors (170585353345276).

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

142242040420100 is a wasteful number, since it uses less digits than its factorization.

142242040420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80166 (or 80159 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 142242040420100 its reverse (1024040242241), we get a palindrome (143266080662341).

The spelling of 142242040420100 in words is "one hundred forty-two trillion, two hundred forty-two billion, forty million, four hundred twenty thousand, one hundred".