1083217007040 has 224 divisors, whose sum is σ = 3931401498624. Its totient is φ = 247537582080.

The previous prime is 1083217007029. The next prime is 1083217007071. The reversal of 1083217007040 is 407007123801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1083217006992 and 1083217007010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35580625 + ... + 35611055.

Almost surely, 2^{1083217007040} is an apocalyptic number.

1083217007040 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 1083217007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965700749312).

1083217007040 is an abundant number, since it is smaller than the sum of its proper divisors (2848184491584).

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

1083217007040 is a wasteful number, since it uses less digits than its factorization.

1083217007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35755 (or 35745 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 1083217007040 in words is "one trillion, eighty-three billion, two hundred seventeen million, seven thousand, forty".