142321012402240 has 224 divisors, whose sum is σ = 397743458918400. Its totient is φ = 47499538544640.

The previous prime is 142321012402207. The next prime is 142321012402249. The reversal of 142321012402240 is 42204210123241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 142321012402199 and 142321012402208.

It is not an unprimeable number, because it can be changed into a prime (142321012402249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6900391 + ... + 18227929.

It is an arithmetic number, because the mean of its divisors is an integer number (1775640441600).

Almost surely, 2^{142321012402240} is an apocalyptic number.

142321012402240 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 142321012402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198871729459200).

142321012402240 is an abundant number, since it is smaller than the sum of its proper divisors (255422446516160).

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

142321012402240 is a wasteful number, since it uses less digits than its factorization.

142321012402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327713 (or 11327703 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 142321012402240 its reverse (42204210123241), we get a palindrome (184525222525481).

The spelling of 142321012402240 in words is "one hundred forty-two trillion, three hundred twenty-one billion, twelve million, four hundred two thousand, two hundred forty".