1104960192400 has 240 divisors, whose sum is σ = 2897525707200. Its totient is φ = 403334830080.

The previous prime is 1104960192397. The next prime is 1104960192407. The reversal of 1104960192400 is 42910694011.

It is a self number, because there is not a number n which added to its sum of digits gives 1104960192400.

It is not an unprimeable number, because it can be changed into a prime (1104960192407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97631542 + ... + 97642858.

It is an arithmetic number, because the mean of its divisors is an integer number (12073023780).

Almost surely, 2^{1104960192400} is an apocalyptic number.

1104960192400 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 1104960192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448762853600).

1104960192400 is an abundant number, since it is smaller than the sum of its proper divisors (1792565514800).

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

1104960192400 is a wasteful number, since it uses less digits than its factorization.

1104960192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11815 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 1104960192400 in words is "one trillion, one hundred four billion, nine hundred sixty million, one hundred ninety-two thousand, four hundred".