3663141361200 has 360 divisors, whose sum is σ = 13489065091008. Its totient is φ = 917383864320.

The previous prime is 3663141361171. The next prime is 3663141361213. The reversal of 3663141361200 is 21631413663.

3663141361200 is a `hidden beast` number, since 3 + 6 + 6 + 31 + 4 + 1 + 3 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28270962 + ... + 28400238.

Almost surely, 2^{3663141361200} is an apocalyptic number.

3663141361200 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 3663141361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744532545504).

3663141361200 is an abundant number, since it is smaller than the sum of its proper divisors (9825923729808).

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

3663141361200 is a wasteful number, since it uses less digits than its factorization.

3663141361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129781 (or 129767 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 3663141361200 its reverse (21631413663), we get a palindrome (3684772774863).

The spelling of 3663141361200 in words is "three trillion, six hundred sixty-three billion, one hundred forty-one million, three hundred sixty-one thousand, two hundred".