142009364689920 has 1056 divisors, whose sum is σ = 626494436305920. Its totient is φ = 28929203896320.

The previous prime is 142009364689903. The next prime is 142009364689991. The reversal of 142009364689920 is 29986463900241.

142009364689920 is a `hidden beast` number, since 1 + 4 + 200 + 9 + 364 + 68 + 9 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×142009364689920³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121021225 + ... + 122189015.

Almost surely, 2^{142009364689920} is an apocalyptic number.

142009364689920 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 142009364689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313247218152960).

142009364689920 is an abundant number, since it is smaller than the sum of its proper divisors (484485071616000).

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

142009364689920 is a wasteful number, since it uses less digits than its factorization.

142009364689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167871 (or 1167850 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 142009364689920 in words is "one hundred forty-two trillion, nine billion, three hundred sixty-four million, six hundred eighty-nine thousand, nine hundred twenty".