42410311301424 has 80 divisors (see below), whose sum is σ = 119557712102400. Its totient is φ = 12847551002880.

The previous prime is 42410311301387. The next prime is 42410311301431.

It is a happy number.

42410311301424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42410311301391 and 42410311301400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11008999 + ... + 14353350.

It is an arithmetic number, because the mean of its divisors is an integer number (1494471401280).

Almost surely, 2^{42410311301424} is an apocalyptic number.

42410311301424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42410311301424 is an abundant number, since it is smaller than the sum of its proper divisors (77147400800976).

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

42410311301424 is a wasteful number, since it uses less digits than its factorization.

42410311301424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25365538 (or 25365532 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4241031 and 1301424, that added together give a palindrome (5542455).

The spelling of 42410311301424 in words is "forty-two trillion, four hundred ten billion, three hundred eleven million, three hundred one thousand, four hundred twenty-four".