104165362440 has 192 divisors, whose sum is σ = 341679265200. Its totient is φ = 27520819200.

The previous prime is 104165362439. The next prime is 104165362487. The reversal of 104165362440 is 44263561401.

104165362440 is a `hidden beast` number, since 10 + 4 + 16 + 5 + 3 + 624 + 4 + 0 = 666.

104165362440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 48458977956 + 55706384484 = 220134^2 + 236022^2 .

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 = 104165362395 and 104165362404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18307116 + ... + 18312804.

Almost surely, 2^104165362440 is an apocalyptic number.

104165362440 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 104165362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170839632600).

104165362440 is an abundant number, since it is smaller than the sum of its proper divisors (237513902760).

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

104165362440 is a wasteful number, since it uses less digits than its factorization.

104165362440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104165362440 in words is "one hundred four billion, one hundred sixty-five million, three hundred sixty-two thousand, four hundred forty".