41384023027200 has 1920 divisors, whose sum is σ = 180633188736000. Its totient is φ = 9079780147200.

The previous prime is 41384023027199. The next prime is 41384023027213. The reversal of 41384023027200 is 272032048314.

It is a happy number.

41384023027200 is a `hidden beast` number, since 4 + 1 + 384 + 0 + 2 + 3 + 0 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12698379171 + ... + 12698382429.

It is an arithmetic number, because the mean of its divisors is an integer number (94079785800).

Almost surely, 2^{41384023027200} is an apocalyptic number.

41384023027200 is a gapful number since it is divisible by the number (40) 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 41384023027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316594368000).

41384023027200 is an abundant number, since it is smaller than the sum of its proper divisors (139249165708800).

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

41384023027200 is a wasteful number, since it uses less digits than its factorization.

41384023027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 41384023027200 in words is "forty-one trillion, three hundred eighty-four billion, twenty-three million, twenty-seven thousand, two hundred".