42820419000 has 128 divisors (see below), whose sum is σ = 133774804800. Its totient is φ = 11403814400.

The previous prime is 42820418957. The next prime is 42820419013. The reversal of 42820419000 is 91402824.

It is a super-2 number, since 2×42820419000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382046 + ... + 2399954.

Almost surely, 2^42820419000 is an apocalyptic number.

42820419000 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 42820419000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66887402400).

42820419000 is an abundant number, since it is smaller than the sum of its proper divisors (90954385800).

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

42820419000 is a wasteful number, since it uses less digits than its factorization.

42820419000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18730 (or 18716 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 42820419000 in words is "forty-two billion, eight hundred twenty million, four hundred nineteen thousand".