142008117339960 has 256 divisors, whose sum is σ = 474611260291200. Its totient is φ = 37768790016000.

The previous prime is 142008117339883. The next prime is 142008117339997. The reversal of 142008117339960 is 69933711800241.

142008117339960 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 0 + 81 + 173 + 399 + 6 + 0 = 666.

142008117339960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 142008117339897 and 142008117339906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3499699192 + ... + 3499739768.

Almost surely, 2^{142008117339960} is an apocalyptic number.

142008117339960 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 142008117339960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237305630145600).

142008117339960 is an abundant number, since it is smaller than the sum of its proper divisors (332603142951240).

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

142008117339960 is a wasteful number, since it uses less digits than its factorization.

142008117339960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49079 (or 49069 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 142008117339960 in words is "one hundred forty-two trillion, eight billion, one hundred seventeen million, three hundred thirty-nine thousand, nine hundred sixty".