142244342244400 has 180 divisors, whose sum is σ = 376915868246736. Its totient is φ = 51548673651200.

The previous prime is 142244342244341. The next prime is 142244342244401. The reversal of 142244342244400 is 4442243442241.

142244342244400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (142244342244401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9165957 + ... + 19196443.

Almost surely, 2^{142244342244400} is an apocalyptic number.

142244342244400 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 142244342244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188457934123368).

142244342244400 is an abundant number, since it is smaller than the sum of its proper divisors (234671526002336).

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

142244342244400 is a wasteful number, since it uses less digits than its factorization.

142244342244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030820 (or 10030798 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 142244342244400 its reverse (4442243442241), we get a palindrome (146686585686641).

The spelling of 142244342244400 in words is "one hundred forty-two trillion, two hundred forty-four billion, three hundred forty-two million, two hundred forty-four thousand, four hundred".