1108901233440 has 2592 divisors, whose sum is σ = 5502447490176. Its totient is φ = 196791828480.

The previous prime is 1108901233439. The next prime is 1108901233471. The reversal of 1108901233440 is 443321098011.

1108901233440 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 90 + 123 + 3 + 440 = 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 = 1108901233395 and 1108901233404.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 18794936131 + ... + 18794936189.

It is an arithmetic number, because the mean of its divisors is an integer number (2122857828).

Almost surely, 2^{1108901233440} is an apocalyptic number.

1108901233440 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 1108901233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751223745088).

1108901233440 is an abundant number, since it is smaller than the sum of its proper divisors (4393546256736).

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

1108901233440 is a wasteful number, since it uses less digits than its factorization.

1108901233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 1108901 and 233440, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 1108901233440 in words is "one trillion, one hundred eight billion, nine hundred one million, two hundred thirty-three thousand, four hundred forty".