426896241408 has 1440 divisors, whose sum is σ = 1689717568000. Its totient is φ = 106662334464.

The previous prime is 426896241397. The next prime is 426896241413. The reversal of 426896241408 is 804142698624.

It is a happy number.

426896241408 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 9 + 624 + 1 + 4 + 0 + 8 = 666.

It is a super-3 number, since 3×426896241408³ (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22468223223 + ... + 22468223241.

Almost surely, 2^426896241408 is an apocalyptic number.

426896241408 is a gapful number since it is divisible by the number (48) 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 426896241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844858784000).

426896241408 is an abundant number, since it is smaller than the sum of its proper divisors (1262821326592).

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

426896241408 is an frugal number, since it uses more digits than its factorization.

426896241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 426896241408 in words is "four hundred twenty-six billion, eight hundred ninety-six million, two hundred forty-one thousand, four hundred eight".