42426634117320 has 256 divisors, whose sum is σ = 141726557952000. Its totient is φ = 11289423974400.

The previous prime is 42426634117291. The next prime is 42426634117349. The reversal of 42426634117320 is 2371143662424.

42426634117320 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 6 + 634 + 1 + 1 + 7 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42426634117291) and next prime (42426634117349).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 4209404041 + ... + 4209414119.

It is an arithmetic number, because the mean of its divisors is an integer number (553619367000).

Almost surely, 2^{42426634117320} is an apocalyptic number.

42426634117320 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 42426634117320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70863278976000).

42426634117320 is an abundant number, since it is smaller than the sum of its proper divisors (99299923834680).

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

42426634117320 is a wasteful number, since it uses less digits than its factorization.

42426634117320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18101 (or 18091 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

Adding to 42426634117320 its reverse (2371143662424), we get a palindrome (44797777779744).

The spelling of 42426634117320 in words is "forty-two trillion, four hundred twenty-six billion, six hundred thirty-four million, one hundred seventeen thousand, three hundred twenty".