42344243200 has 168 divisors, whose sum is σ = 120012421392. Its totient is φ = 14517534720.

The previous prime is 42344243191. The next prime is 42344243203. The reversal of 42344243200 is 234244324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42344243203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1418832 + ... + 1448368.

Almost surely, 2^42344243200 is an apocalyptic number.

42344243200 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 42344243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60006210696).

42344243200 is an abundant number, since it is smaller than the sum of its proper divisors (77668178192).

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

42344243200 is an equidigital number, since it uses as much as digits as its factorization.

42344243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29580 (or 29551 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42344243200 its reverse (234244324), we get a palindrome (42578487524).

The spelling of 42344243200 in words is "forty-two billion, three hundred forty-four million, two hundred forty-three thousand, two hundred".