142233440242140 has 576 divisors, whose sum is σ = 535710104092800. Its totient is φ = 30141042720768.

The previous prime is 142233440242133. The next prime is 142233440242171. The reversal of 142233440242140 is 41242044332241.

142233440242140 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 3 + 34 + 402 + 4 + 214 + 0 = 666.

It is a super-3 number, since 3×142233440242140³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 142233440242095 and 142233440242104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18674224 + ... + 25163336.

It is an arithmetic number, because the mean of its divisors is an integer number (930052264050).

Almost surely, 2^{142233440242140} is an apocalyptic number.

142233440242140 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 142233440242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267855052046400).

142233440242140 is an abundant number, since it is smaller than the sum of its proper divisors (393476663850660).

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

142233440242140 is a wasteful number, since it uses less digits than its factorization.

142233440242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489206 (or 6489201 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 142233440242140 its reverse (41242044332241), we get a palindrome (183475484574381).

The spelling of 142233440242140 in words is "one hundred forty-two trillion, two hundred thirty-three billion, four hundred forty million, two hundred forty-two thousand, one hundred forty".