422431088640 has 448 divisors, whose sum is σ = 1499854475520. Its totient is φ = 100652810240.

The previous prime is 422431088623. The next prime is 422431088693. The reversal of 422431088640 is 46880134224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422431088592 and 422431088601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79746472 + ... + 79751768.

Almost surely, 2^422431088640 is an apocalyptic number.

422431088640 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 422431088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749927237760).

422431088640 is an abundant number, since it is smaller than the sum of its proper divisors (1077423386880).

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

422431088640 is a wasteful number, since it uses less digits than its factorization.

422431088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 422431088640 in words is "four hundred twenty-two billion, four hundred thirty-one million, eighty-eight thousand, six hundred forty".