424249435008 has 768 divisors, whose sum is σ = 1510010611200. Its totient is φ = 111651913728.

The previous prime is 424249434979. The next prime is 424249435009. The reversal of 424249435008 is 800534942424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424249435009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 928335516 + ... + 928335972.

It is an arithmetic number, because the mean of its divisors is an integer number (1966159650).

Almost surely, 2^424249435008 is an apocalyptic number.

424249435008 is a gapful number since it is divisible by the number (48) 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 424249435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755005305600).

424249435008 is an abundant number, since it is smaller than the sum of its proper divisors (1085761176192).

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

424249435008 is a wasteful number, since it uses less digits than its factorization.

424249435008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 424249435008 in words is "four hundred twenty-four billion, two hundred forty-nine million, four hundred thirty-five thousand, eight".