1104331210400 has 288 divisors, whose sum is σ = 2994851942208. Its totient is φ = 394277068800.

The previous prime is 1104331210369. The next prime is 1104331210421. The reversal of 1104331210400 is 40121334011.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 145821014 + ... + 145828586.

It is an arithmetic number, because the mean of its divisors is an integer number (10398791466).

Almost surely, 2^{1104331210400} is an apocalyptic number.

1104331210400 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 1104331210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497425971104).

1104331210400 is an abundant number, since it is smaller than the sum of its proper divisors (1890520731808).

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

1104331210400 is a wasteful number, since it uses less digits than its factorization.

1104331210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1104331210400 its reverse (40121334011), we get a palindrome (1144452544411).

The spelling of 1104331210400 in words is "one trillion, one hundred four billion, three hundred thirty-one million, two hundred ten thousand, four hundred".