42515131200 has 168 divisors, whose sum is σ = 143255524512. Its totient is φ = 11030906880.

The previous prime is 42515131157. The next prime is 42515131201. The reversal of 42515131200 is 213151524.

It is a happy number.

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 (42515131201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57907 + ... + 297293.

Almost surely, 2^42515131200 is an apocalyptic number.

42515131200 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 42515131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71627762256).

42515131200 is an abundant number, since it is smaller than the sum of its proper divisors (100740393312).

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

42515131200 is a wasteful number, since it uses less digits than its factorization.

42515131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239449 (or 239434 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 42515131200 its reverse (213151524), we get a palindrome (42728282724).

The spelling of 42515131200 in words is "forty-two billion, five hundred fifteen million, one hundred thirty-one thousand, two hundred".