1827806441472 has 624 divisors, whose sum is σ = 6010752384000. Its totient is φ = 530133811200.

The previous prime is 1827806441453. The next prime is 1827806441501. The reversal of 1827806441472 is 2741446087281.

It is a happy number.

1827806441472 is a `hidden beast` number, since 1 + 8 + 2 + 78 + 0 + 64 + 41 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219349779 + ... + 1219351277.

It is an arithmetic number, because the mean of its divisors is an integer number (9632616000).

Almost surely, 2^{1827806441472} is an apocalyptic number.

1827806441472 is a gapful number since it is divisible by the number (12) 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 1827806441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005376192000).

1827806441472 is an abundant number, since it is smaller than the sum of its proper divisors (4182945942528).

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

1827806441472 is a wasteful number, since it uses less digits than its factorization.

1827806441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 1827806441472 in words is "one trillion, eight hundred twenty-seven billion, eight hundred six million, four hundred forty-one thousand, four hundred seventy-two".