424088828362080 has 960 divisors, whose sum is σ = 1734568918967808. Its totient is φ = 95571105914880.

The previous prime is 424088828362061. The next prime is 424088828362123. The reversal of 424088828362080 is 80263828880424.

It is a happy number.

424088828362080 is a `hidden beast` number, since 4 + 2 + 40 + 88 + 82 + 8 + 362 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 424088828361999 and 424088828362017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20417342095 + ... + 20417362865.

Almost surely, 2^{424088828362080} is an apocalyptic number.

424088828362080 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 424088828362080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867284459483904).

424088828362080 is an abundant number, since it is smaller than the sum of its proper divisors (1310480090605728).

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

424088828362080 is a wasteful number, since it uses less digits than its factorization.

424088828362080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23944 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 63.

The spelling of 424088828362080 in words is "four hundred twenty-four trillion, eighty-eight billion, eight hundred twenty-eight million, three hundred sixty-two thousand, eighty".