42020412000 has 384 divisors, whose sum is σ = 158030466048. Its totient is φ = 9561600000.

The previous prime is 42020411999. The next prime is 42020412011. The reversal of 42020412000 is 21402024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21083004 + ... + 21084996.

It is an arithmetic number, because the mean of its divisors is an integer number (411537672).

Almost surely, 2^42020412000 is an apocalyptic number.

42020412000 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 42020412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79015233024).

42020412000 is an abundant number, since it is smaller than the sum of its proper divisors (116010054048).

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

42020412000 is a wasteful number, since it uses less digits than its factorization.

42020412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42020412000 its reverse (21402024), we get a palindrome (42041814024).

The spelling of 42020412000 in words is "forty-two billion, twenty million, four hundred twelve thousand".