1104730144128 has 256 divisors, whose sum is σ = 3515397849600. Its totient is φ = 339519817728.

The previous prime is 1104730144109. The next prime is 1104730144291. The reversal of 1104730144128 is 8214410374011.

1104730144128 is a `hidden beast` number, since 110 + 473 + 0 + 14 + 41 + 28 = 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 = 1104730144092 and 1104730144101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39657501 + ... + 39685347.

It is an arithmetic number, because the mean of its divisors is an integer number (13732022850).

Almost surely, 2^{1104730144128} is an apocalyptic number.

1104730144128 is a gapful number since it is divisible by the number (18) 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 1104730144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757698924800).

1104730144128 is an abundant number, since it is smaller than the sum of its proper divisors (2410667705472).

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

1104730144128 is a wasteful number, since it uses less digits than its factorization.

1104730144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28766 (or 28748 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1104730144128 in words is "one trillion, one hundred four billion, seven hundred thirty million, one hundred forty-four thousand, one hundred twenty-eight".