4134141412100 has 108 divisors (see below), whose sum is σ = 10445987859300. Its totient is φ = 1416029932800.

The previous prime is 4134141412057. The next prime is 4134141412139. The reversal of 4134141412100 is 12141414314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 44500746304 + 4089640665796 = 210952^2 + 2022286^2 .

It is a super-2 number, since 2×4134141412100² (a number of 26 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 4134141412100.

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 35 ways as a sum of consecutive naturals, for example, 4589726 + ... + 5416074.

Almost surely, 2^{4134141412100} 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 4134141412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222993929650).

4134141412100 is an abundant number, since it is smaller than the sum of its proper divisors (6311846447200).

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

4134141412100 is a wasteful number, since it uses less digits than its factorization.

4134141412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827398 (or 827384 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 4134141412100 its reverse (12141414314), we get a palindrome (4146282826414).

The spelling of 4134141412100 in words is "four trillion, one hundred thirty-four billion, one hundred forty-one million, four hundred twelve thousand, one hundred".