42402301000 has 128 divisors (see below), whose sum is σ = 105194700000. Its totient is φ = 15942451200.

The previous prime is 42402300979. The next prime is 42402301001. The reversal of 42402301000 is 10320424.

It can be written as a sum of positive squares in 16 ways, for example, as 7185274756 + 35217026244 = 84766^2 + 187662^2 .

It is not an unprimeable number, because it can be changed into a prime (42402301001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21232002 + ... + 21233998.

Almost surely, 2^42402301000 is an apocalyptic number.

42402301000 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 42402301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52597350000).

42402301000 is an abundant number, since it is smaller than the sum of its proper divisors (62792399000).

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

42402301000 is a wasteful number, since it uses less digits than its factorization.

42402301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42402301000 its reverse (10320424), we get a palindrome (42412621424).

The spelling of 42402301000 in words is "forty-two billion, four hundred two million, three hundred one thousand".