426852961920 has 2048 divisors, whose sum is σ = 2025392947200. Its totient is φ = 82245058560.

The previous prime is 426852961907. The next prime is 426852961921. The reversal of 426852961920 is 29169258624.

426852961920 is a `hidden beast` number, since 4 + 26 + 8 + 529 + 6 + 1 + 92 + 0 = 666.

It is a super-3 number, since 3×426852961920³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (426852961921) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 2556005677 + ... + 2556005843.

It is an arithmetic number, because the mean of its divisors is an integer number (988961400).

Almost surely, 2^426852961920 is an apocalyptic number.

426852961920 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 426852961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012696473600).

426852961920 is an abundant number, since it is smaller than the sum of its proper divisors (1598539985280).

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

426852961920 is a wasteful number, since it uses less digits than its factorization.

426852961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 426852961920 in words is "four hundred twenty-six billion, eight hundred fifty-two million, nine hundred sixty-one thousand, nine hundred twenty".