104842450440 has 320 divisors, whose sum is σ = 433708450560. Its totient is φ = 22120542720.

The previous prime is 104842450421. The next prime is 104842450441. The reversal of 104842450440 is 44054248401.

104842450440 is a `hidden beast` number, since 10 + 4 + 84 + 24 + 504 + 40 = 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 = 104842450395 and 104842450404.

It is not an unprimeable number, because it can be changed into a prime (104842450441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117045 + ... + 472635.

It is an arithmetic number, because the mean of its divisors is an integer number (1355338908).

Almost surely, 2^104842450440 is an apocalyptic number.

104842450440 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 104842450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216854225280).

104842450440 is an abundant number, since it is smaller than the sum of its proper divisors (328866000120).

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

104842450440 is a wasteful number, since it uses less digits than its factorization.

104842450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355634 (or 355621 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 104842450440 its reverse (44054248401), we get a palindrome (148896698841).

The spelling of 104842450440 in words is "one hundred four billion, eight hundred forty-two million, four hundred fifty thousand, four hundred forty".