104034028646400 has 1248 divisors, whose sum is σ = 367869369139200. Its totient is φ = 25878681354240.

The previous prime is 104034028646393. The next prime is 104034028646407. The reversal of 104034028646400 is 4646820430401.

104034028646400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104034028646393) and next prime (104034028646407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104034028646407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173679513301 + ... + 173679513899.

Almost surely, 2^{104034028646400} is an apocalyptic number.

104034028646400 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 104034028646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183934684569600).

104034028646400 is an abundant number, since it is smaller than the sum of its proper divisors (263835340492800).

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

104034028646400 is a wasteful number, since it uses less digits than its factorization.

104034028646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 104034028646400 in words is "one hundred four trillion, thirty-four billion, twenty-eight million, six hundred forty-six thousand, four hundred".