104832820418400 has 432 divisors, whose sum is σ = 391472479563984. Its totient is φ = 26306905866240.

The previous prime is 104832820418393. The next prime is 104832820418429. The reversal of 104832820418400 is 4814028238401.

104832820418400 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 3 + 28 + 204 + 18 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 832624252 + ... + 832750148.

It is an arithmetic number, because the mean of its divisors is an integer number (906186295287).

Almost surely, 2^{104832820418400} is an apocalyptic number.

104832820418400 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 104832820418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195736239781992).

104832820418400 is an abundant number, since it is smaller than the sum of its proper divisors (286639659145584).

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

104832820418400 is a wasteful number, since it uses less digits than its factorization.

104832820418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132743 (or 132727 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 104832820418400 in words is "one hundred four trillion, eight hundred thirty-two billion, eight hundred twenty million, four hundred eighteen thousand, four hundred".