427158319564800 has 1440 divisors, whose sum is σ = 1763340571792800. Its totient is φ = 101565498654720.

The previous prime is 427158319564747. The next prime is 427158319564843. The reversal of 427158319564800 is 8465913851724.

It is a happy number.

427158319564800 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 58 + 3 + 19 + 564 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×427158319564800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1339386159 + ... + 1339705041.

It is an arithmetic number, because the mean of its divisors is an integer number (1224542063745).

It is a 1-persistent number, because it is pandigital, but 2⋅427158319564800 = 854316639129600 is not.

Almost surely, 2^{427158319564800} is an apocalyptic number.

427158319564800 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 427158319564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881670285896400).

427158319564800 is an abundant number, since it is smaller than the sum of its proper divisors (1336182252228000).

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

427158319564800 is a wasteful number, since it uses less digits than its factorization.

427158319564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318963 (or 318929 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 427158319564800 in words is "four hundred twenty-seven trillion, one hundred fifty-eight billion, three hundred nineteen million, five hundred sixty-four thousand, eight hundred".