142021361664000 has 4032 divisors, whose sum is σ = 666873885350400. Its totient is φ = 29964946636800.

The previous prime is 142021361663977. The next prime is 142021361664029. The reversal of 142021361664000 is 466163120241.

142021361664000 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 2 + 1 + 3 + 6 + 1 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 10924720127994 + ... + 10924720128006.

Almost surely, 2^{142021361664000} is an apocalyptic number.

142021361664000 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 142021361664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333436942675200).

142021361664000 is an abundant number, since it is smaller than the sum of its proper divisors (524852523686400).

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

142021361664000 is an frugal number, since it uses more digits than its factorization.

142021361664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 142021361664000 in words is "one hundred forty-two trillion, twenty-one billion, three hundred sixty-one million, six hundred sixty-four thousand".