360540143788032 has 336 divisors, whose sum is σ = 1163153253531360. Its totient is φ = 110935420895232.

The previous prime is 360540143787997. The next prime is 360540143788037. The reversal of 360540143788032 is 230887341045063.

It is a happy number.

360540143788032 is a `hidden beast` number, since 3 + 6 + 0 + 540 + 14 + 3 + 7 + 8 + 80 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 360540143788032.

It is not an unprimeable number, because it can be changed into a prime (360540143788037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18912519 + ... + 32844537.

It is an arithmetic number, because the mean of its divisors is an integer number (3461765635510).

Almost surely, 2^{360540143788032} is an apocalyptic number.

360540143788032 is a gapful number since it is divisible by the number (32) 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 360540143788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581576626765680).

360540143788032 is an abundant number, since it is smaller than the sum of its proper divisors (802613109743328).

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

360540143788032 is an equidigital number, since it uses as much as digits as its factorization.

360540143788032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13932073 (or 13932037 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 360540143788032 in words is "three hundred sixty trillion, five hundred forty billion, one hundred forty-three million, seven hundred eighty-eight thousand, thirty-two".