427702889952000 has 2880 divisors, whose sum is σ = 1799042294649600. Its totient is φ = 100114071552000.

The previous prime is 427702889951993. The next prime is 427702889952061. The reversal of 427702889952000 is 259988207724.

427702889952000 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 0 + 28 + 89 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 140276446476 + ... + 140276449524.

It is an arithmetic number, because the mean of its divisors is an integer number (624667463420).

Almost surely, 2^{427702889952000} is an apocalyptic number.

427702889952000 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 427702889952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899521147324800).

427702889952000 is an abundant number, since it is smaller than the sum of its proper divisors (1371339404697600).

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

427702889952000 is a wasteful number, since it uses less digits than its factorization.

427702889952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 427702889952000 in words is "four hundred twenty-seven trillion, seven hundred two billion, eight hundred eighty-nine million, nine hundred fifty-two thousand".