42008313900 has 288 divisors, whose sum is σ = 144830730240. Its totient is φ = 9198720000.

The previous prime is 42008313887. The next prime is 42008313901. The reversal of 42008313900 is 931380024.

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

It is not an unprimeable number, because it can be changed into a prime (42008313901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6571906 + ... + 6578294.

It is an arithmetic number, because the mean of its divisors is an integer number (502884480).

Almost surely, 2^42008313900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42008313900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72415365120).

42008313900 is an abundant number, since it is smaller than the sum of its proper divisors (102822416340).

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

42008313900 is a wasteful number, since it uses less digits than its factorization.

42008313900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 42008313900 its reverse (931380024), we get a palindrome (42939693924).

The spelling of 42008313900 in words is "forty-two billion, eight million, three hundred thirteen thousand, nine hundred".