42420424000 has 112 divisors (see below), whose sum is σ = 105701933376. Its totient is φ = 16863552000.

The previous prime is 42420423977. The next prime is 42420424001. The reversal of 42420424000 is 42402424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420424001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287735 + ... + 1320265.

Almost surely, 2^42420424000 is an apocalyptic number.

42420424000 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 42420424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52850966688).

42420424000 is an abundant number, since it is smaller than the sum of its proper divisors (63281509376).

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

42420424000 is a wasteful number, since it uses less digits than its factorization.

42420424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32721 (or 32701 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42420424000 its reverse (42402424), we get a palindrome (42462826424).

The spelling of 42420424000 in words is "forty-two billion, four hundred twenty million, four hundred twenty-four thousand".