42314330110400 has 84 divisors (see below), whose sum is σ = 104448153087528. Its totient is φ = 16872338365440.

The previous prime is 42314330110343. The next prime is 42314330110477. The reversal of 42314330110400 is 401103341324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42314330110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41206454 + ... + 42220853.

Almost surely, 2^{42314330110400} is an apocalyptic number.

42314330110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42314330110400 is an abundant number, since it is smaller than the sum of its proper divisors (62133822977128).

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

42314330110400 is a wasteful number, since it uses less digits than its factorization.

42314330110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83427646 (or 83427631 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 42314330110400 its reverse (401103341324), we get a palindrome (42715433451724).

The spelling of 42314330110400 in words is "forty-two trillion, three hundred fourteen billion, three hundred thirty million, one hundred ten thousand, four hundred".