201827481408000 has 1920 divisors, whose sum is σ = 875457432495360. Its totient is φ = 45698804121600.

The previous prime is 201827481407927. The next prime is 201827481408023. The reversal of 201827481408000 is 804184728102.

201827481408000 is a `hidden beast` number, since 20 + 1 + 82 + 74 + 81 + 408 + 0 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9059892862 + ... + 9059915138.

It is an arithmetic number, because the mean of its divisors is an integer number (455967412758).

Almost surely, 2^{201827481408000} is an apocalyptic number.

201827481408000 is a gapful number since it is divisible by the number (20) 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 201827481408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437728716247680).

201827481408000 is an abundant number, since it is smaller than the sum of its proper divisors (673629951087360).

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

201827481408000 is a wasteful number, since it uses less digits than its factorization.

201827481408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22440 (or 22401 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 201827481408000 in words is "two hundred one trillion, eight hundred twenty-seven billion, four hundred eighty-one million, four hundred eight thousand".