1104355045440 has 448 divisors, whose sum is σ = 4114261113600. Its totient is φ = 278090661888.

The previous prime is 1104355045429. The next prime is 1104355045571. The reversal of 1104355045440 is 445405534011.

1104355045440 is a `hidden beast` number, since 1 + 10 + 4 + 3 + 550 + 4 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1104355045395 and 1104355045404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51371334 + ... + 51392826.

Almost surely, 2^{1104355045440} is an apocalyptic number.

1104355045440 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 1104355045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057130556800).

1104355045440 is an abundant number, since it is smaller than the sum of its proper divisors (3009906068160).

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

1104355045440 is a wasteful number, since it uses less digits than its factorization.

1104355045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21851 (or 21835 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1104355045440 in words is "one trillion, one hundred four billion, three hundred fifty-five million, forty-five thousand, four hundred forty".