426135438753024 has 2304 divisors, whose sum is σ = 1641931100651520. Its totient is φ = 94560141312000.

The previous prime is 426135438752929. The next prime is 426135438753043. The reversal of 426135438753024 is 420357834531624.

It is a super-2 number, since 2×426135438753024² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 52024832769 + ... + 52024840959.

It is an arithmetic number, because the mean of its divisors is an integer number (712643706880).

Almost surely, 2^{426135438753024} is an apocalyptic number.

426135438753024 is a gapful number since it is divisible by the number (44) 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 426135438753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820965550325760).

426135438753024 is an abundant number, since it is smaller than the sum of its proper divisors (1215795661898496).

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

426135438753024 is a wasteful number, since it uses less digits than its factorization.

426135438753024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 57.

The spelling of 426135438753024 in words is "four hundred twenty-six trillion, one hundred thirty-five billion, four hundred thirty-eight million, seven hundred fifty-three thousand, twenty-four".