142641623616000 has 320 divisors, whose sum is σ = 474282539153280. Its totient is φ = 38034975129600.

The previous prime is 142641623615917. The next prime is 142641623616001. The reversal of 142641623616000 is 616326146241.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (142641623616001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5181490236 + ... + 5181517764.

It is an arithmetic number, because the mean of its divisors is an integer number (1482132934854).

Almost surely, 2^{142641623616000} is an apocalyptic number.

142641623616000 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 142641623616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237141269576640).

142641623616000 is an abundant number, since it is smaller than the sum of its proper divisors (331640915537280).

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

142641623616000 is an equidigital number, since it uses as much as digits as its factorization.

142641623616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54552 (or 54526 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 142641623616000 in words is "one hundred forty-two trillion, six hundred forty-one billion, six hundred twenty-three million, six hundred sixteen thousand".