42830409600 has 288 divisors, whose sum is σ = 166723469640. Its totient is φ = 10383052800.

The previous prime is 42830409581. The next prime is 42830409619. The reversal of 42830409600 is 690403824.

It is a happy number.

42830409600 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 0 + 40 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42830409581) and next prime (42830409619).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 249202 + ... + 384398.

Almost surely, 2^42830409600 is an apocalyptic number.

42830409600 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 42830409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83361734820).

42830409600 is an abundant number, since it is smaller than the sum of its proper divisors (123893060040).

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

42830409600 is a wasteful number, since it uses less digits than its factorization.

42830409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135238 (or 135218 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42830409600 in words is "forty-two billion, eight hundred thirty million, four hundred nine thousand, six hundred".