42000424042400 has 72 divisors (see below), whose sum is σ = 105034353207084. Its totient is φ = 16390409369600.

The previous prime is 42000424042387. The next prime is 42000424042429. The reversal of 42000424042400 is 424042400024.

It can be written as a sum of positive squares in 6 ways, for example, as 17234155171216 + 24766268871184 = 4151404^2 + 4976572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42000424042400.

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, 640217567 + ... + 640283166.

Almost surely, 2^{42000424042400} is an apocalyptic number.

42000424042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000424042400 is an abundant number, since it is smaller than the sum of its proper divisors (63033929164684).

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

42000424042400 is a wasteful number, since it uses less digits than its factorization.

42000424042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280500794 (or 1280500781 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42000424042400 its reverse (424042400024), we get a palindrome (42424466442424).

The spelling of 42000424042400 in words is "forty-two trillion, four hundred twenty-four million, forty-two thousand, four hundred".