4142124134300 has 72 divisors (see below), whose sum is σ = 9307936910160. Its totient is φ = 1598068326400.

The previous prime is 4142124134237. The next prime is 4142124134303. The reversal of 4142124134300 is 34314212414.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142124134303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080412 + ... + 3551388.

It is an arithmetic number, because the mean of its divisors is an integer number (129276901530).

Almost surely, 2^{4142124134300} 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 4142124134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653968455080).

4142124134300 is an abundant number, since it is smaller than the sum of its proper divisors (5165812775860).

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

4142124134300 is a wasteful number, since it uses less digits than its factorization.

4142124134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471991 (or 1471984 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4142124134300 its reverse (34314212414), we get a palindrome (4176438346714).

The spelling of 4142124134300 in words is "four trillion, one hundred forty-two billion, one hundred twenty-four million, one hundred thirty-four thousand, three hundred".