142020556800 has 576 divisors, whose sum is σ = 502007556960. Its totient is φ = 35295068160.

The previous prime is 142020556781. The next prime is 142020556813. The reversal of 142020556800 is 8655020241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357734202 + ... + 357734598.

Almost surely, 2^142020556800 is an apocalyptic number.

142020556800 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 142020556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251003778480).

142020556800 is an abundant number, since it is smaller than the sum of its proper divisors (359987000160).

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

142020556800 is a wasteful number, since it uses less digits than its factorization.

142020556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 142020556800 in words is "one hundred forty-two billion, twenty million, five hundred fifty-six thousand, eight hundred".