361989840000 has 640 divisors, whose sum is σ = 1280773771200. Its totient is φ = 90556416000.

The previous prime is 361989839923. The next prime is 361989840001. The reversal of 361989840000 is 48989163.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (361989840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179119847 + ... + 1179120153.

Almost surely, 2^361989840000 is an apocalyptic number.

361989840000 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 361989840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640386885600).

361989840000 is an abundant number, since it is smaller than the sum of its proper divisors (918783931200).

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

361989840000 is an frugal number, since it uses more digits than its factorization.

361989840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 361989840000 in words is "three hundred sixty-one billion, nine hundred eighty-nine million, eight hundred forty thousand".