104640422400 has 240 divisors, whose sum is σ = 384082485600. Its totient is φ = 27904020480.

The previous prime is 104640422389. The next prime is 104640422401. The reversal of 104640422400 is 4224046401.

It is a happy number.

104640422400 is a `hidden beast` number, since 10 + 4 + 6 + 404 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104640422401) 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, 194211 + ... + 496989.

It is an arithmetic number, because the mean of its divisors is an integer number (1600343690).

Almost surely, 2^104640422400 is an apocalyptic number.

104640422400 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 104640422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192041242800).

104640422400 is an abundant number, since it is smaller than the sum of its proper divisors (279442063200).

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

104640422400 is an equidigital number, since it uses as much as digits as its factorization.

104640422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302816 (or 302789 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104640422400 its reverse (4224046401), we get a palindrome (108864468801).

The spelling of 104640422400 in words is "one hundred four billion, six hundred forty million, four hundred twenty-two thousand, four hundred".