10422431420310 has 256 divisors, whose sum is σ = 34212910233600. Its totient is φ = 2198635633152.

The previous prime is 10422431420263. The next prime is 10422431420311. The reversal of 10422431420310 is 1302413422401.

10422431420310 is a `hidden beast` number, since 1 + 0 + 4 + 22 + 431 + 4 + 203 + 1 + 0 = 666.

It is a super-2 number, since 2×10422431420310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422431420311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154192101 + ... + 154259679.

It is an arithmetic number, because the mean of its divisors is an integer number (133644180600).

Almost surely, 2^{10422431420310} is an apocalyptic number.

10422431420310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422431420310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106455116800).

10422431420310 is an abundant number, since it is smaller than the sum of its proper divisors (23790478813290).

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

10422431420310 is a wasteful number, since it uses less digits than its factorization.

10422431420310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73892 (or 73886 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10422431420310 its reverse (1302413422401), we get a palindrome (11724844842711).

The spelling of 10422431420310 in words is "ten trillion, four hundred twenty-two billion, four hundred thirty-one million, four hundred twenty thousand, three hundred ten".