104414514240 has 112 divisors (see below), whose sum is σ = 332198301312. Its totient is φ = 27786571776.

The previous prime is 104414514209. The next prime is 104414514241. The reversal of 104414514240 is 42415414401.

104414514240 is digitally balanced in base 3 and base 7, because in such bases 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 104414514198 and 104414514207.

It is not an unprimeable number, because it can be changed into a prime (104414514241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355852 + ... + 579188.

Almost surely, 2^104414514240 is an apocalyptic number.

104414514240 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 104414514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166099150656).

104414514240 is an abundant number, since it is smaller than the sum of its proper divisors (227783787072).

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

104414514240 is a wasteful number, since it uses less digits than its factorization.

104414514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223844 (or 223834 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 104414514240 its reverse (42415414401), we get a palindrome (146829928641).

The spelling of 104414514240 in words is "one hundred four billion, four hundred fourteen million, five hundred fourteen thousand, two hundred forty".