142024242400 has 72 divisors (see below), whose sum is σ = 367111815840. Its totient is φ = 53467944960.

The previous prime is 142024242389. The next prime is 142024242407. The reversal of 142024242400 is 4242420241.

142024242400 is digitally balanced in base 3, 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142024242407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5207880 + ... + 5235079.

It is an arithmetic number, because the mean of its divisors is an integer number (5098775220).

Almost surely, 2^142024242400 is an apocalyptic number.

142024242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142024242400 is an abundant number, since it is smaller than the sum of its proper divisors (225087573440).

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

142024242400 is a wasteful number, since it uses less digits than its factorization.

142024242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442996 (or 10442983 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 142024242400 its reverse (4242420241), we get a palindrome (146266662641).

The spelling of 142024242400 in words is "one hundred forty-two billion, twenty-four million, two hundred forty-two thousand, four hundred".