142012083628800 has 2592 divisors, whose sum is σ = 666004481985024. Its totient is φ = 28009857024000.

The previous prime is 142012083628769. The next prime is 142012083628813. The reversal of 142012083628800 is 8826380210241.

142012083628800 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 208 + 362 + 8 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6728187847 + ... + 6728208953.

Almost surely, 2^{142012083628800} is an apocalyptic number.

142012083628800 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 142012083628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333002240992512).

142012083628800 is an abundant number, since it is smaller than the sum of its proper divisors (523992398356224).

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

142012083628800 is a wasteful number, since it uses less digits than its factorization.

142012083628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21235 (or 21213 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 142012083628800 in words is "one hundred forty-two trillion, twelve billion, eighty-three million, six hundred twenty-eight thousand, eight hundred".