104133335040 has 1152 divisors, whose sum is σ = 439589928960. Its totient is φ = 22295347200.

The previous prime is 104133335029. The next prime is 104133335041. The reversal of 104133335040 is 40533331401.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 104133334995 and 104133335013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104133335041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 819947457 + ... + 819947583.

It is an arithmetic number, because the mean of its divisors is an integer number (381588480).

Almost surely, 2^104133335040 is an apocalyptic number.

104133335040 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 104133335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219794964480).

104133335040 is an abundant number, since it is smaller than the sum of its proper divisors (335456593920).

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

104133335040 is a wasteful number, since it uses less digits than its factorization.

104133335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 104133335040 its reverse (40533331401), we get a palindrome (144666666441).

The spelling of 104133335040 in words is "one hundred four billion, one hundred thirty-three million, three hundred thirty-five thousand, forty".