42333414100 has 72 divisors (see below), whose sum is σ = 95253512760. Its totient is φ = 16311214080.

The previous prime is 42333414091. The next prime is 42333414107. The reversal of 42333414100 is 141433324.

It can be written as a sum of positive squares in 12 ways, for example, as 27898352784 + 14435061316 = 167028^2 + 120146^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333414107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238844 + ... + 1272556.

It is an arithmetic number, because the mean of its divisors is an integer number (1322965455).

Almost surely, 2^42333414100 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 42333414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47626756380).

42333414100 is an abundant number, since it is smaller than the sum of its proper divisors (52920098660).

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

42333414100 is a wasteful number, since it uses less digits than its factorization.

42333414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34189 (or 34182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 42333414100 its reverse (141433324), we get a palindrome (42474847424).

The spelling of 42333414100 in words is "forty-two billion, three hundred thirty-three million, four hundred fourteen thousand, one hundred".