104011414440 has 128 divisors (see below), whose sum is σ = 315152640000. Its totient is φ = 27459606528.

The previous prime is 104011414439. The next prime is 104011414459. The reversal of 104011414440 is 44414110401.

104011414440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104011414440.

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, 21671161 + ... + 21675959.

It is an arithmetic number, because the mean of its divisors is an integer number (2462130000).

Almost surely, 2^104011414440 is an apocalyptic number.

104011414440 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 104011414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157576320000).

104011414440 is an abundant number, since it is smaller than the sum of its proper divisors (211141225560).

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

104011414440 is a wasteful number, since it uses less digits than its factorization.

104011414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 104011414440 its reverse (44414110401), we get a palindrome (148425524841).

The spelling of 104011414440 in words is "one hundred four billion, eleven million, four hundred fourteen thousand, four hundred forty".