42042013411300 has 108 divisors (see below), whose sum is σ = 106132259170980. Its totient is φ = 14413561774080.

The previous prime is 42042013411261. The next prime is 42042013411309. The reversal of 42042013411300 is 311431024024.

It can be written as a sum of positive squares in 6 ways, for example, as 1495963825216 + 40546049586084 = 1223096^2 + 6367578^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42042013411309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86630124 + ... + 87114076.

It is an arithmetic number, because the mean of its divisors is an integer number (982706103435).

Almost surely, 2^{42042013411300} is an apocalyptic number.

It is an amenable number.

42042013411300 is an abundant number, since it is smaller than the sum of its proper divisors (64090245759680).

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

42042013411300 is a wasteful number, since it uses less digits than its factorization.

42042013411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501710 (or 501696 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 42042013411300 its reverse (311431024024), we get a palindrome (42353444435324).

The spelling of 42042013411300 in words is "forty-two trillion, forty-two billion, thirteen million, four hundred eleven thousand, three hundred".