42141614100 has 144 divisors (see below), whose sum is σ = 122679106368. Its totient is φ = 11168962560.

The previous prime is 42141614077. The next prime is 42141614101. The reversal of 42141614100 is 141614124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141614101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52874902 + ... + 52875698.

Almost surely, 2^42141614100 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 42141614100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61339553184).

42141614100 is an abundant number, since it is smaller than the sum of its proper divisors (80537492268).

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

42141614100 is a wasteful number, since it uses less digits than its factorization.

42141614100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 42141614100 its sum of digits (24), we get a palindrome (42141614124).

The spelling of 42141614100 in words is "forty-two billion, one hundred forty-one million, six hundred fourteen thousand, one hundred".