426647930727200 has 1728 divisors, whose sum is σ = 1440901016432640. Its totient is φ = 120035999416320.

The previous prime is 426647930727173. The next prime is 426647930727209. The reversal of 426647930727200 is 2727039746624.

It is a self number, because there is not a number n which added to its sum of digits gives 426647930727200.

It is not an unprimeable number, because it can be changed into a prime (426647930727209) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 112187200499 + ... + 112187204301.

It is an arithmetic number, because the mean of its divisors is an integer number (833854754880).

Almost surely, 2^{426647930727200} is an apocalyptic number.

426647930727200 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 426647930727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720450508216320).

426647930727200 is an abundant number, since it is smaller than the sum of its proper divisors (1014253085705440).

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

426647930727200 is a wasteful number, since it uses less digits than its factorization.

426647930727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 59.

The spelling of 426647930727200 in words is "four hundred twenty-six trillion, six hundred forty-seven billion, nine hundred thirty million, seven hundred twenty-seven thousand, two hundred".