42421817920 has 112 divisors (see below), whose sum is σ = 102420480960. Its totient is φ = 16733730816.

The previous prime is 42421817861. The next prime is 42421817929. The reversal of 42421817920 is 2971812424.

It is a super-2 number, since 2×42421817920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42421817929) 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, 19467391 + ... + 19469569.

It is an arithmetic number, because the mean of its divisors is an integer number (914468580).

Almost surely, 2^42421817920 is an apocalyptic number.

42421817920 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 42421817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51210240480).

42421817920 is an abundant number, since it is smaller than the sum of its proper divisors (59998663040).

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

42421817920 is a wasteful number, since it uses less digits than its factorization.

42421817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 42421817920 in words is "forty-two billion, four hundred twenty-one million, eight hundred seventeen thousand, nine hundred twenty".