142542024050400 has 288 divisors, whose sum is σ = 500396266339200. Its totient is φ = 35035889940480.

The previous prime is 142542024050353. The next prime is 142542024050479. The reversal of 142542024050400 is 4050420245241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17965051 + ... + 24654149.

It is an arithmetic number, because the mean of its divisors is an integer number (1737487035900).

Almost surely, 2^{142542024050400} is an apocalyptic number.

142542024050400 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 142542024050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250198133169600).

142542024050400 is an abundant number, since it is smaller than the sum of its proper divisors (357854242288800).

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

142542024050400 is a wasteful number, since it uses less digits than its factorization.

142542024050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689818 (or 6689805 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 142542024050400 its reverse (4050420245241), we get a palindrome (146592444295641).

The spelling of 142542024050400 in words is "one hundred forty-two trillion, five hundred forty-two billion, twenty-four million, fifty thousand, four hundred".