42004124414100 has 216 divisors, whose sum is σ = 132678893194848. Its totient is φ = 11114400211200.

The previous prime is 42004124414093. The next prime is 42004124414101. The reversal of 42004124414100 is 141442140024.

It is a happy number.

42004124414100 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 1 + 244 + 1 + 410 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004124414101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1875424102 + ... + 1875446498.

Almost surely, 2^{42004124414100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004124414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339446597424).

42004124414100 is an abundant number, since it is smaller than the sum of its proper divisors (90674768780748).

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

42004124414100 is a wasteful number, since it uses less digits than its factorization.

42004124414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38455 (or 38445 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 42004124414100 its reverse (141442140024), we get a palindrome (42145566554124).

The spelling of 42004124414100 in words is "forty-two trillion, four billion, one hundred twenty-four million, four hundred fourteen thousand, one hundred".