427441996800 has 3168 divisors, whose sum is σ = 2106569337600. Its totient is φ = 80263249920.

The previous prime is 427441996799. The next prime is 427441996801. The reversal of 427441996800 is 8699144724.

427441996800 is a `hidden beast` number, since 427 + 44 + 19 + 96 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (427441996799) and next prime (427441996801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427441996801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11552486382 + ... + 11552486418.

Almost surely, 2^427441996800 is an apocalyptic number.

427441996800 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 427441996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053284668800).

427441996800 is an abundant number, since it is smaller than the sum of its proper divisors (1679127340800).

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

427441996800 is a wasteful number, since it uses less digits than its factorization.

427441996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

It can be divided in two parts, 427441 and 996800, that added together give a palindrome (1424241).

The spelling of 427441996800 in words is "four hundred twenty-seven billion, four hundred forty-one million, nine hundred ninety-six thousand, eight hundred".