360142305120 has 288 divisors, whose sum is σ = 1324130371200. Its totient is φ = 88609738752.

The previous prime is 360142305091. The next prime is 360142305121. The reversal of 360142305120 is 21503241063.

360142305120 is a `hidden beast` number, since 3 + 6 + 0 + 142 + 3 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360142305121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73361226 + ... + 73366134.

It is an arithmetic number, because the mean of its divisors is an integer number (4597674900).

Almost surely, 2^360142305120 is an apocalyptic number.

360142305120 is a gapful number since it is divisible by the number (30) 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 360142305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662065185600).

360142305120 is an abundant number, since it is smaller than the sum of its proper divisors (963988066080).

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

360142305120 is a wasteful number, since it uses less digits than its factorization.

360142305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 360142305120 its reverse (21503241063), we get a palindrome (381645546183).

The spelling of 360142305120 in words is "three hundred sixty billion, one hundred forty-two million, three hundred five thousand, one hundred twenty".