42075311100 has 288 divisors, whose sum is σ = 136323274752. Its totient is φ = 9968640000.

The previous prime is 42075311093. The next prime is 42075311123. The reversal of 42075311100 is 111357024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6478855 + ... + 6485345.

It is an arithmetic number, because the mean of its divisors is an integer number (473344704).

Almost surely, 2^42075311100 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 42075311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68161637376).

42075311100 is an abundant number, since it is smaller than the sum of its proper divisors (94247963652).

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

42075311100 is a wasteful number, since it uses less digits than its factorization.

42075311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 42075311100 its reverse (111357024), we get a palindrome (42186668124).

The spelling of 42075311100 in words is "forty-two billion, seventy-five million, three hundred eleven thousand, one hundred".