1042401104192 has 224 divisors, whose sum is σ = 2510150700288. Its totient is φ = 420155817984.

The previous prime is 1042401104191. The next prime is 1042401104333. The reversal of 1042401104192 is 2914011042401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042401104191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69130958 + ... + 69146034.

It is an arithmetic number, because the mean of its divisors is an integer number (11206029912).

Almost surely, 2^{1042401104192} 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 1042401104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255075350144).

1042401104192 is an abundant number, since it is smaller than the sum of its proper divisors (1467749596096).

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

1042401104192 is a wasteful number, since it uses less digits than its factorization.

1042401104192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15273 (or 15263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 1042401104192 its reverse (2914011042401), we get a palindrome (3956412146593).

The spelling of 1042401104192 in words is "one trillion, forty-two billion, four hundred one million, one hundred four thousand, one hundred ninety-two".