1082434760640 has 336 divisors, whose sum is σ = 4030157100960. Its totient is φ = 273456414720.

The previous prime is 1082434760611. The next prime is 1082434760651. The reversal of 1082434760640 is 460674342801.

1082434760640 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 4 + 34 + 7 + 606 + 4 + 0 = 666.

It is a super-2 number, since 2×1082434760640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2945520 + ... + 3292560.

Almost surely, 2^{1082434760640} is an apocalyptic number.

1082434760640 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 1082434760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015078550480).

1082434760640 is an abundant number, since it is smaller than the sum of its proper divisors (2947722340320).

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

1082434760640 is a wasteful number, since it uses less digits than its factorization.

1082434760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347105 (or 347070 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1082434760640 in words is "one trillion, eighty-two billion, four hundred thirty-four million, seven hundred sixty thousand, six hundred forty".