42100414400 has 168 divisors, whose sum is σ = 117925559424. Its totient is φ = 14643481600.

The previous prime is 42100414397. The next prime is 42100414417. The reversal of 42100414400 is 441400124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352799 + ... + 456801.

Almost surely, 2^42100414400 is an apocalyptic number.

42100414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58962779712).

42100414400 is an abundant number, since it is smaller than the sum of its proper divisors (75825145024).

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

42100414400 is a wasteful number, since it uses less digits than its factorization.

42100414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104059 (or 104044 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42100414400 its reverse (441400124), we get a palindrome (42541814524).

The spelling of 42100414400 in words is "forty-two billion, one hundred million, four hundred fourteen thousand, four hundred".