1042114140200 has 96 divisors (see below), whose sum is σ = 2778066984000. Its totient is φ = 356132298240.

The previous prime is 1042114140181. The next prime is 1042114140203. The reversal of 1042114140200 is 20414112401.

1042114140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1042114140203) 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, 782525 + ... + 1642124.

It is an arithmetic number, because the mean of its divisors is an integer number (28938197750).

Almost surely, 2^{1042114140200} is an apocalyptic number.

1042114140200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042114140200 is an abundant number, since it is smaller than the sum of its proper divisors (1735952843800).

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

1042114140200 is a wasteful number, since it uses less digits than its factorization.

1042114140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424979 (or 2424970 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1042114140200 its reverse (20414112401), we get a palindrome (1062528252601).

The spelling of 1042114140200 in words is "one trillion, forty-two billion, one hundred fourteen million, one hundred forty thousand, two hundred".