42004020424400 has 60 divisors (see below), whose sum is σ = 100915306851852. Its totient is φ = 16801500318720.

The previous prime is 42004020424381. The next prime is 42004020424403. The reversal of 42004020424400 is 442402040024.

It can be written as a sum of positive squares in 6 ways, for example, as 7569563648656 + 34434456775744 = 2751284^2 + 5868088^2 .

It is a super-2 number, since 2×42004020424400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42004020424400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004020424403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97542362 + ... + 97972038.

Almost surely, 2^{42004020424400} is an apocalyptic number.

42004020424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004020424400 is an abundant number, since it is smaller than the sum of its proper divisors (58911286427452).

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

42004020424400 is a wasteful number, since it uses less digits than its factorization.

42004020424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674088 (or 674077 counting only the distinct ones).

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

Adding to 42004020424400 its reverse (442402040024), we get a palindrome (42446422464424).

The spelling of 42004020424400 in words is "forty-two trillion, four billion, twenty million, four hundred twenty-four thousand, four hundred".