1083230434440 has 2880 divisors, whose sum is σ = 5135711454720. Its totient is φ = 203096678400.

The previous prime is 1083230434439. The next prime is 1083230434441. The reversal of 1083230434440 is 444340323801.

1083230434440 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 2 + 304 + 344 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1083230434439) and next prime (1083230434441).

It is a super-2 number, since 2×1083230434440² (a number of 25 digits) contains 22 as substring.

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 = 1083230434395 and 1083230434404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083230434441) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 10123648867 + ... + 10123648973.

It is an arithmetic number, because the mean of its divisors is an integer number (1783233144).

Almost surely, 2^{1083230434440} is an apocalyptic number.

1083230434440 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 1083230434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567855727360).

1083230434440 is an abundant number, since it is smaller than the sum of its proper divisors (4052481020280).

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

1083230434440 is a wasteful number, since it uses less digits than its factorization.

1083230434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 1083230434440 in words is "one trillion, eighty-three billion, two hundred thirty million, four hundred thirty-four thousand, four hundred forty".