426686010240 has 384 divisors, whose sum is σ = 1584047556000. Its totient is φ = 97408991232.

The previous prime is 426686010239. The next prime is 426686010251. The reversal of 426686010240 is 42010686624.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93795486 + ... + 93800034.

Almost surely, 2^426686010240 is an apocalyptic number.

426686010240 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 426686010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792023778000).

426686010240 is an abundant number, since it is smaller than the sum of its proper divisors (1157361545760).

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

426686010240 is a wasteful number, since it uses less digits than its factorization.

426686010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 426686010240 its reverse (42010686624), we get a palindrome (468696696864).

The spelling of 426686010240 in words is "four hundred twenty-six billion, six hundred eighty-six million, ten thousand, two hundred forty".