1083181440 has 128 divisors (see below), whose sum is σ = 3766590720. Its totient is φ = 262584320.

The previous prime is 1083181439. The next prime is 1083181483. The reversal of 1083181440 is 441813801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1083181398 and 1083181407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4524 + ... + 46763.

It is an arithmetic number, because the mean of its divisors is an integer number (29426490).

Almost surely, 2^1083181440 is an apocalyptic number.

1083181440 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 1083181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883295360).

1083181440 is an abundant number, since it is smaller than the sum of its proper divisors (2683409280).

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

1083181440 is a wasteful number, since it uses less digits than its factorization.

1083181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51320 (or 51308 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1083181440 is about 32911.7219239589. The cubic root of 1083181440 is about 1026.9920222174.

The spelling of 1083181440 in words is "one billion, eighty-three million, one hundred eighty-one thousand, four hundred forty".