42014431440100 has 144 divisors (see below), whose sum is σ = 104422116556800. Its totient is φ = 14373669294720.

The previous prime is 42014431440077. The next prime is 42014431440103. The reversal of 42014431440100 is 104413441024.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42014431440103) 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, 3548809981 + ... + 3548821819.

It is an arithmetic number, because the mean of its divisors is an integer number (725153587200).

Almost surely, 2^{42014431440100} 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 42014431440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52211058278400).

42014431440100 is an abundant number, since it is smaller than the sum of its proper divisors (62407685116700).

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

42014431440100 is a wasteful number, since it uses less digits than its factorization.

42014431440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22442 (or 22435 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42014431440100 its reverse (104413441024), we get a palindrome (42118844881124).

The spelling of 42014431440100 in words is "forty-two trillion, fourteen billion, four hundred thirty-one million, four hundred forty thousand, one hundred".