427406803334784 has 1792 divisors, whose sum is σ = 1666114567488000. Its totient is φ = 105935450406912.

The previous prime is 427406803334779. The next prime is 427406803334911. The reversal of 427406803334784 is 487433308604724.

427406803334784 is a `hidden beast` number, since 4 + 2 + 7 + 406 + 80 + 3 + 33 + 47 + 84 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 121112722332 + ... + 121112725860.

It is an arithmetic number, because the mean of its divisors is an integer number (929751432750).

Almost surely, 2^{427406803334784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427406803334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833057283744000).

427406803334784 is an abundant number, since it is smaller than the sum of its proper divisors (1238707764153216).

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

427406803334784 is a wasteful number, since it uses less digits than its factorization.

427406803334784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 63.

The spelling of 427406803334784 in words is "four hundred twenty-seven trillion, four hundred six billion, eight hundred three million, three hundred thirty-four thousand, seven hundred eighty-four".