1035393303840 has 192 divisors, whose sum is σ = 3730839388416. Its totient is φ = 236443963392.

The previous prime is 1035393303823. The next prime is 1035393303863. The reversal of 1035393303840 is 483033935301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1035393303792 and 1035393303801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531514 + ... + 3813446.

It is an arithmetic number, because the mean of its divisors is an integer number (19431455148).

Almost surely, 2^{1035393303840} is an apocalyptic number.

1035393303840 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 1035393303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865419694208).

1035393303840 is an abundant number, since it is smaller than the sum of its proper divisors (2695446084576).

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

1035393303840 is a wasteful number, since it uses less digits than its factorization.

1035393303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283051 (or 283043 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 1035393303840 in words is "one trillion, thirty-five billion, three hundred ninety-three million, three hundred three thousand, eight hundred forty".