42324240000 has 960 divisors, whose sum is σ = 168915304800. Its totient is φ = 9354240000.

The previous prime is 42324239989. The next prime is 42324240011. The reversal of 42324240000 is 4242324.

It is an interprime number because it is at equal distance from previous prime (42324239989) and next prime (42324240011).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 693839970 + ... + 693840030.

Almost surely, 2^42324240000 is an apocalyptic number.

42324240000 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 42324240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84457652400).

42324240000 is an abundant number, since it is smaller than the sum of its proper divisors (126591064800).

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

42324240000 is an equidigital number, since it uses as much as digits as its factorization.

42324240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42324240000 its reverse (4242324), we get a palindrome (42328482324).

The spelling of 42324240000 in words is "forty-two billion, three hundred twenty-four million, two hundred forty thousand".