142205024400 has 240 divisors, whose sum is σ = 462051260160. Its totient is φ = 37380096000.

The previous prime is 142205024393. The next prime is 142205024431. The reversal of 142205024400 is 4420502241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109303750 + ... + 109305050.

It is an arithmetic number, because the mean of its divisors is an integer number (1925213584).

Almost surely, 2^142205024400 is an apocalyptic number.

142205024400 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 142205024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231025630080).

142205024400 is an abundant number, since it is smaller than the sum of its proper divisors (319846235760).

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

142205024400 is a wasteful number, since it uses less digits than its factorization.

142205024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 142205024400 its reverse (4420502241), we get a palindrome (146625526641).

The spelling of 142205024400 in words is "one hundred forty-two billion, two hundred five million, twenty-four thousand, four hundred".