1104114333040 has 160 divisors (see below), whose sum is σ = 2703104918784. Its totient is φ = 418916597760.

The previous prime is 1104114333017. The next prime is 1104114333137. The reversal of 1104114333040 is 403334114011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1104114332996 and 1104114333014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35738400 + ... + 35769280.

Almost surely, 2^{1104114333040} is an apocalyptic number.

1104114333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104114333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351552459392).

1104114333040 is an abundant number, since it is smaller than the sum of its proper divisors (1598990585744).

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

1104114333040 is a wasteful number, since it uses less digits than its factorization.

1104114333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31235 (or 31229 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1104114333040 its reverse (403334114011), we get a palindrome (1507448447051).

The spelling of 1104114333040 in words is "one trillion, one hundred four billion, one hundred fourteen million, three hundred thirty-three thousand, forty".