42234413100 has 288 divisors, whose sum is σ = 135423332352. Its totient is φ = 10077600000.

The previous prime is 42234413069. The next prime is 42234413191. The reversal of 42234413100 is 131443224.

It is a super-2 number, since 2×42234413100² (a number of 22 digits) contains 22 as substring.

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, 65276977 + ... + 65277623.

It is an arithmetic number, because the mean of its divisors is an integer number (470219904).

Almost surely, 2^42234413100 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 42234413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67711666176).

42234413100 is an abundant number, since it is smaller than the sum of its proper divisors (93188919252).

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

42234413100 is a wasteful number, since it uses less digits than its factorization.

42234413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42234413100 its reverse (131443224), we get a palindrome (42365856324).

The spelling of 42234413100 in words is "forty-two billion, two hundred thirty-four million, four hundred thirteen thousand, one hundred".