104432420314440 has 192 divisors, whose sum is σ = 340432762325760. Its totient is φ = 27764457454080.

The previous prime is 104432420314421. The next prime is 104432420314441. The reversal of 104432420314440 is 44413024234401.

104432420314440 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 3 + 2 + 4 + 203 + 1 + 4 + 440 = 666.

It is a super-2 number, since 2×104432420314440² (a number of 29 digits) contains 22 as substring.

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 = 104432420314395 and 104432420314404.

It is not an unprimeable number, because it can be changed into a prime (104432420314441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180466042 + ... + 181043798.

It is an arithmetic number, because the mean of its divisors is an integer number (1773087303780).

Almost surely, 2^{104432420314440} is an apocalyptic number.

104432420314440 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 104432420314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170216381162880).

104432420314440 is an abundant number, since it is smaller than the sum of its proper divisors (236000342011320).

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

104432420314440 is a wasteful number, since it uses less digits than its factorization.

104432420314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579292 (or 579285 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 104432420314440 its reverse (44413024234401), we get a palindrome (148845444548841).

The spelling of 104432420314440 in words is "one hundred four trillion, four hundred thirty-two billion, four hundred twenty million, three hundred fourteen thousand, four hundred forty".