42004341200 has 240 divisors, whose sum is σ = 113859587520. Its totient is φ = 14796840960.

The previous prime is 42004341193. The next prime is 42004341209. The reversal of 42004341200 is 214340024.

42004341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004341209) 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, 10721642 + ... + 10725558.

It is an arithmetic number, because the mean of its divisors is an integer number (474414948).

Almost surely, 2^42004341200 is an apocalyptic number.

42004341200 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 42004341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56929793760).

42004341200 is an abundant number, since it is smaller than the sum of its proper divisors (71855246320).

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

42004341200 is a wasteful number, since it uses less digits than its factorization.

42004341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42004341200 its reverse (214340024), we get a palindrome (42218681224).

The spelling of 42004341200 in words is "forty-two billion, four million, three hundred forty-one thousand, two hundred".