1084530263040 has 1408 divisors, whose sum is σ = 4717545676800. Its totient is φ = 230756843520.

The previous prime is 1084530263009. The next prime is 1084530263083. The reversal of 1084530263040 is 403620354801.

1084530263040 is a `hidden beast` number, since 1 + 0 + 8 + 45 + 302 + 6 + 304 + 0 = 666.

It is a super-2 number, since 2×1084530263040² (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 = 1084530262986 and 1084530263004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1121540637 + ... + 1121541603.

It is an arithmetic number, because the mean of its divisors is an integer number (3350529600).

Almost surely, 2^{1084530263040} is an apocalyptic number.

1084530263040 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 1084530263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358772838400).

1084530263040 is an abundant number, since it is smaller than the sum of its proper divisors (3633015413760).

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

1084530263040 is a wasteful number, since it uses less digits than its factorization.

1084530263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1084530263040 in words is "one trillion, eighty-four billion, five hundred thirty million, two hundred sixty-three thousand, forty".