427039851512736 has 1920 divisors, whose sum is σ = 1652579363635200. Its totient is φ = 107128707840000.

The previous prime is 427039851512671. The next prime is 427039851512759. The reversal of 427039851512736 is 637215158930724.

427039851512736 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 3 + 9 + 85 + 1 + 512 + 7 + 36 = 666.

It is a super-2 number, since 2×427039851512736² (a number of 30 digits) contains 22 as substring.

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

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, 200394110391 + ... + 200394112521.

It is an arithmetic number, because the mean of its divisors is an integer number (860718418560).

It is a 1-persistent number, because it is pandigital, but 2⋅427039851512736 = 854079703025472 is not.

Almost surely, 2^{427039851512736} 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 427039851512736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826289681817600).

427039851512736 is an abundant number, since it is smaller than the sum of its proper divisors (1225539512122464).

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

427039851512736 is a wasteful number, since it uses less digits than its factorization.

427039851512736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 427039851512736 in words is "four hundred twenty-seven trillion, thirty-nine billion, eight hundred fifty-one million, five hundred twelve thousand, seven hundred thirty-six".