42113251200 has 192 divisors, whose sum is σ = 139773553920. Its totient is φ = 11144140800.

The previous prime is 42113251189. The next prime is 42113251211. The reversal of 42113251200 is 215231124.

It is an interprime number because it is at equal distance from previous prime (42113251189) and next prime (42113251211).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240857 + ... + 1274343.

It is an arithmetic number, because the mean of its divisors is an integer number (727987260).

Almost surely, 2^42113251200 is an apocalyptic number.

42113251200 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 42113251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69886776960).

42113251200 is an abundant number, since it is smaller than the sum of its proper divisors (97660302720).

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

42113251200 is a wasteful number, since it uses less digits than its factorization.

42113251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33645 (or 33628 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 42113251200 its reverse (215231124), we get a palindrome (42328482324).

The spelling of 42113251200 in words is "forty-two billion, one hundred thirteen million, two hundred fifty-one thousand, two hundred".