426881212992 has 280 divisors, whose sum is σ = 1385102332152. Its totient is φ = 129193574400.

The previous prime is 426881212991. The next prime is 426881212993. The reversal of 426881212992 is 299212188624.

426881212992 is a `hidden beast` number, since 4 + 268 + 81 + 212 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (426881212991) and next prime (426881212993).

It can be written as a sum of positive squares in 4 ways, for example, as 702038016 + 426179174976 = 26496^2 + 652824^2 .

It is a super-3 number, since 3×426881212992³ (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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (426881212991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4058992 + ... + 4162832.

Almost surely, 2^426881212992 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 426881212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692551166076).

426881212992 is an abundant number, since it is smaller than the sum of its proper divisors (958221119160).

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

426881212992 is a wasteful number, since it uses less digits than its factorization.

426881212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103939 (or 103920 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 426881212992 in words is "four hundred twenty-six billion, eight hundred eighty-one million, two hundred twelve thousand, nine hundred ninety-two".