360141045120 has 768 divisors, whose sum is σ = 1366462094400. Its totient is φ = 87029710848.

The previous prime is 360141045097. The next prime is 360141045151. The reversal of 360141045120 is 21540141063.

It is a happy number.

360141045120 is a `hidden beast` number, since 3 + 6 + 0 + 141 + 0 + 4 + 512 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 387664816 + ... + 387665744.

Almost surely, 2^360141045120 is an apocalyptic number.

360141045120 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 360141045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683231047200).

360141045120 is an abundant number, since it is smaller than the sum of its proper divisors (1006321049280).

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

360141045120 is a wasteful number, since it uses less digits than its factorization.

360141045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 360141045120 its reverse (21540141063), we get a palindrome (381681186183).

The spelling of 360141045120 in words is "three hundred sixty billion, one hundred forty-one million, forty-five thousand, one hundred twenty".