360864891383040 has 5184 divisors, whose sum is σ = 1574653080698880. Its totient is φ = 78751147622400.

The previous prime is 360864891383039. The next prime is 360864891383137. The reversal of 360864891383040 is 40383198468063.

360864891383040 is a `hidden beast` number, since 3 + 6 + 0 + 86 + 489 + 1 + 3 + 8 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1618228212369 + ... + 1618228212591.

Almost surely, 2^{360864891383040} is an apocalyptic number.

360864891383040 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 360864891383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787326540349440).

360864891383040 is an abundant number, since it is smaller than the sum of its proper divisors (1213788189315840).

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

360864891383040 is a wasteful number, since it uses less digits than its factorization.

360864891383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 360864891383040 in words is "three hundred sixty trillion, eight hundred sixty-four billion, eight hundred ninety-one million, three hundred eighty-three thousand, forty".