42513033424000 has 128 divisors (see below), whose sum is σ = 111915561204720. Its totient is φ = 16004906598400.

The previous prime is 42513033423947. The next prime is 42513033424003. The reversal of 42513033424000 is 42433031524.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5658650176 + 42507374773824 = 75224^2 + 6519768^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42513033424003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77876959 + ... + 78420958.

Almost surely, 2^{42513033424000} is an apocalyptic number.

42513033424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42513033424000 is an abundant number, since it is smaller than the sum of its proper divisors (69402527780720).

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

42513033424000 is a wasteful number, since it uses less digits than its factorization.

42513033424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156297963 (or 156297941 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 42513033424000 its reverse (42433031524), we get a palindrome (42555466455524).

The spelling of 42513033424000 in words is "forty-two trillion, five hundred thirteen billion, thirty-three million, four hundred twenty-four thousand".