104012140400 has 240 divisors, whose sum is σ = 303473344320. Its totient is φ = 33559142400.

The previous prime is 104012140381. The next prime is 104012140423. The reversal of 104012140400 is 4041210401.

104012140400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13752620 + ... + 13760180.

It is an arithmetic number, because the mean of its divisors is an integer number (1264472268).

Almost surely, 2^104012140400 is an apocalyptic number.

104012140400 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 104012140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151736672160).

104012140400 is an abundant number, since it is smaller than the sum of its proper divisors (199461203920).

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

104012140400 is an equidigital number, since it uses as much as digits as its factorization.

104012140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 104012140400 its reverse (4041210401), we get a palindrome (108053350801).

The spelling of 104012140400 in words is "one hundred four billion, twelve million, one hundred forty thousand, four hundred".