42123433200 has 240 divisors, whose sum is σ = 142358388480. Its totient is φ = 10617661440.

The previous prime is 42123433199. The next prime is 42123433201. The reversal of 42123433200 is 233432124.

It is an interprime number because it is at equal distance from previous prime (42123433199) and next prime (42123433201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123433201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11466564 + ... + 11470236.

It is an arithmetic number, because the mean of its divisors is an integer number (593159952).

Almost surely, 2^42123433200 is an apocalyptic number.

42123433200 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 42123433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71179194240).

42123433200 is an abundant number, since it is smaller than the sum of its proper divisors (100234955280).

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

42123433200 is a wasteful number, since it uses less digits than its factorization.

42123433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42123433200 its reverse (233432124), we get a palindrome (42356865324).

The spelling of 42123433200 in words is "forty-two billion, one hundred twenty-three million, four hundred thirty-three thousand, two hundred".