1109955840 has 432 divisors, whose sum is σ = 4378836672. Its totient is φ = 238092288.

The previous prime is 1109955811. The next prime is 1109955853. The reversal of 1109955840 is 485599011.

It is a super-3 number, since 3×1109955840³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1109955792 and 1109955801.

It is a congruent number.

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, 3198547 + ... + 3198893.

It is an arithmetic number, because the mean of its divisors is an integer number (10136196).

Almost surely, 2^1109955840 is an apocalyptic number.

1109955840 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 1109955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189418336).

1109955840 is an abundant number, since it is smaller than the sum of its proper divisors (3268880832).

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

1109955840 is a wasteful number, since it uses less digits than its factorization.

1109955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 1109955840 is about 33315.9997598751. Note that the first 3 decimals coincide. The cubic root of 1109955840 is about 1035.3850745722.

It can be divided in two parts, 1109955 and 840, that added together give a triangular number (1110795 = T₁₄₉₀).

The spelling of 1109955840 in words is "one billion, one hundred nine million, nine hundred fifty-five thousand, eight hundred forty".