36381881241200 has 480 divisors, whose sum is σ = 105278694589440. Its totient is φ = 11935218585600.

The previous prime is 36381881241197. The next prime is 36381881241217. The reversal of 36381881241200 is 214218818363.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145255274 + ... + 145505526.

It is an arithmetic number, because the mean of its divisors is an integer number (219330613728).

Almost surely, 2^{36381881241200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36381881241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52639347294720).

36381881241200 is an abundant number, since it is smaller than the sum of its proper divisors (68896813348240).

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

36381881241200 is a wasteful number, since it uses less digits than its factorization.

36381881241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250385 (or 250374 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 36381881241200 in words is "thirty-six trillion, three hundred eighty-one billion, eight hundred eighty-one million, two hundred forty-one thousand, two hundred".