426848082534720 has 1344 divisors, whose sum is σ = 1846631116601856. Its totient is φ = 87913998581760.

The previous prime is 426848082534719. The next prime is 426848082534739. The reversal of 426848082534720 is 27435280848624.

426848082534720 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 4 + 80 + 82 + 5 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×426848082534720³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20568007864 + ... + 20568028616.

Almost surely, 2^{426848082534720} is an apocalyptic number.

426848082534720 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 426848082534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923315558300928).

426848082534720 is an abundant number, since it is smaller than the sum of its proper divisors (1419783034067136).

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

426848082534720 is a wasteful number, since it uses less digits than its factorization.

426848082534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21608 (or 21595 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 426848082534720 in words is "four hundred twenty-six trillion, eight hundred forty-eight billion, eighty-two million, five hundred thirty-four thousand, seven hundred twenty".