360166140000 has 720 divisors, whose sum is σ = 1347540274080. Its totient is φ = 91100160000.

The previous prime is 360166139953. The next prime is 360166140029. The reversal of 360166140000 is 41661063.

360166140000 is a `hidden beast` number, since 36 + 0 + 16 + 614 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 273059341 + ... + 273060659.

It is an arithmetic number, because the mean of its divisors is an integer number (1871583714).

Almost surely, 2^360166140000 is an apocalyptic number.

360166140000 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 360166140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673770137040).

360166140000 is an abundant number, since it is smaller than the sum of its proper divisors (987374134080).

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

360166140000 is a wasteful number, since it uses less digits than its factorization.

360166140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 360166140000 in words is "three hundred sixty billion, one hundred sixty-six million, one hundred forty thousand".