1042401104190 has 96 divisors (see below), whose sum is σ = 2860537474080. Its totient is φ = 262637261568.

The previous prime is 1042401104189. The next prime is 1042401104191. The reversal of 1042401104190 is 914011042401.

1042401104190 is a `hidden beast` number, since 1 + 0 + 4 + 240 + 1 + 1 + 0 + 419 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1042401104189) and next prime (1042401104191).

It is a super-2 number, since 2×1042401104190² (a number of 25 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179317 + ... + 1454976.

It is an arithmetic number, because the mean of its divisors is an integer number (29797265355).

Almost surely, 2^{1042401104190} is an apocalyptic number.

1042401104190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042401104190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430268737040).

1042401104190 is an abundant number, since it is smaller than the sum of its proper divisors (1818136369890).

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

1042401104190 is a wasteful number, since it uses less digits than its factorization.

1042401104190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634698 (or 1634695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 1042401104190 its reverse (914011042401), we get a palindrome (1956412146591).

The spelling of 1042401104190 in words is "one trillion, forty-two billion, four hundred one million, one hundred four thousand, one hundred ninety".