360598727228040 has 384 divisors, whose sum is σ = 1370577137529600. Its totient is φ = 80502098503680.

The previous prime is 360598727227933. The next prime is 360598727228071. The reversal of 360598727228040 is 40822727895063.

360598727228040 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 9 + 87 + 272 + 280 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2889790450 + ... + 2889915230.

It is an arithmetic number, because the mean of its divisors is an integer number (3569211295650).

Almost surely, 2^{360598727228040} is an apocalyptic number.

360598727228040 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 360598727228040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685288568764800).

360598727228040 is an abundant number, since it is smaller than the sum of its proper divisors (1009978410301560).

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

360598727228040 is a wasteful number, since it uses less digits than its factorization.

360598727228040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151517 (or 151510 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 360598727228040 in words is "three hundred sixty trillion, five hundred ninety-eight billion, seven hundred twenty-seven million, two hundred twenty-eight thousand, forty".