142408885819200 has 5376 divisors, whose sum is σ = 678807113564160. Its totient is φ = 25165873152000.

The previous prime is 142408885819199. The next prime is 142408885819217. The reversal of 142408885819200 is 2918588804241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 823172750314 + ... + 823172750486.

It is an arithmetic number, because the mean of its divisors is an integer number (126266204160).

Almost surely, 2^{142408885819200} is an apocalyptic number.

142408885819200 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 142408885819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339403556782080).

142408885819200 is an abundant number, since it is smaller than the sum of its proper divisors (536398227744960).

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

142408885819200 is a wasteful number, since it uses less digits than its factorization.

142408885819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 60.

The spelling of 142408885819200 in words is "one hundred forty-two trillion, four hundred eight billion, eight hundred eighty-five million, eight hundred nineteen thousand, two hundred".