104431121040 has 320 divisors, whose sum is σ = 355185838080. Its totient is φ = 25355796480.

The previous prime is 104431120919. The next prime is 104431121063. The reversal of 104431121040 is 40121134401.

It is a super-2 number, since 2×104431121040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104431120998 and 104431121016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36551292 + ... + 36554148.

It is an arithmetic number, because the mean of its divisors is an integer number (1109955744).

Almost surely, 2^104431121040 is an apocalyptic number.

104431121040 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 104431121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592919040).

104431121040 is an abundant number, since it is smaller than the sum of its proper divisors (250754717040).

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

104431121040 is a wasteful number, since it uses less digits than its factorization.

104431121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 104431121040 its reverse (40121134401), we get a palindrome (144552255441).

The spelling of 104431121040 in words is "one hundred four billion, four hundred thirty-one million, one hundred twenty-one thousand, forty".