104122414144440 has 96 divisors (see below), whose sum is σ = 343945351713600. Its totient is φ = 27310797146880.

The previous prime is 104122414144439. The next prime is 104122414144447. The reversal of 104122414144440 is 44441414221401.

104122414144440 is a `hidden beast` number, since 1 + 0 + 4 + 12 + 24 + 141 + 44 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104122414144395 and 104122414144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104122414144447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2370706960 + ... + 2370750879.

It is an arithmetic number, because the mean of its divisors is an integer number (3582764080350).

Almost surely, 2^{104122414144440} is an apocalyptic number.

104122414144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104122414144440 is an abundant number, since it is smaller than the sum of its proper divisors (239822937569160).

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

104122414144440 is a wasteful number, since it uses less digits than its factorization.

104122414144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741457917 (or 4741457910 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 104122414144440 its reverse (44441414221401), we get a palindrome (148563828365841).

The spelling of 104122414144440 in words is "one hundred four trillion, one hundred twenty-two billion, four hundred fourteen million, one hundred forty-four thousand, four hundred forty".