42001000000 has 196 divisors, whose sum is σ = 105497946484. Its totient is φ = 16588800000.

The previous prime is 42000999973. The next prime is 42001000007. The reversal of 42001000000 is 10024.

It can be written as a sum of positive squares in 14 ways, for example, as 25674293824 + 16326706176 = 160232^2 + 127776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 96999784 + ... + 97000216.

It is an arithmetic number, because the mean of its divisors is an integer number (538254829).

Almost surely, 2^42001000000 is an apocalyptic number.

42001000000 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 42001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52748973242).

42001000000 is an abundant number, since it is smaller than the sum of its proper divisors (63496946484).

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

42001000000 is an frugal number, since it uses more digits than its factorization.

42001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 42001000000 its reverse (10024), we get a palindrome (42001010024).

The spelling of 42001000000 in words is "forty-two billion, one million", and thus it is an aban number and an uban number.