104042400000 has 864 divisors, whose sum is σ = 432278332416. Its totient is φ = 21580800000.

The previous prime is 104042399999. The next prime is 104042400001. The reversal of 104042400000 is 4240401.

104042400000 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 (104042399999) and next prime (104042400001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104042400001) 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, 184799719 + ... + 184800281.

It is an arithmetic number, because the mean of its divisors is an integer number (500322144).

Almost surely, 2^104042400000 is an apocalyptic number.

104042400000 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 104042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216139166208).

104042400000 is an abundant number, since it is smaller than the sum of its proper divisors (328235932416).

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

104042400000 is an frugal number, since it uses more digits than its factorization.

104042400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 104042400000 its reverse (4240401), we get a palindrome (104046640401).

The spelling of 104042400000 in words is "one hundred four billion, forty-two million, four hundred thousand".