360428319216 has 420 divisors, whose sum is σ = 1224463854000. Its totient is φ = 102429702144.

The previous prime is 360428319193. The next prime is 360428319253. The reversal of 360428319216 is 612913824063.

360428319216 is a `hidden beast` number, since 3 + 6 + 0 + 428 + 3 + 1 + 9 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 113734080 + ... + 113737248.

Almost surely, 2^360428319216 is an apocalyptic number.

360428319216 is a gapful number since it is divisible by the number (36) 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 360428319216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612231927000).

360428319216 is an abundant number, since it is smaller than the sum of its proper divisors (864035534784).

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

360428319216 is a wasteful number, since it uses less digits than its factorization.

360428319216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 360428319216 in words is "three hundred sixty billion, four hundred twenty-eight million, three hundred nineteen thousand, two hundred sixteen".