1355331040 has 96 divisors (see below), whose sum is σ = 3692122560. Its totient is φ = 460529664.

The previous prime is 1355331023. The next prime is 1355331121. The reversal of 1355331040 is 401335531.

It is a junction number, because it is equal to n+sod(n) for n = 1355330996 and 1355331014.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 121206 + ... + 131914.

It is an arithmetic number, because the mean of its divisors is an integer number (38459610).

Almost surely, 2^1355331040 is an apocalyptic number.

1355331040 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 1355331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846061280).

1355331040 is an abundant number, since it is smaller than the sum of its proper divisors (2336791520).

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

1355331040 is a wasteful number, since it uses less digits than its factorization.

1355331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844 (or 10836 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1355331040 is about 36814.8209285337. The cubic root of 1355331040 is about 1106.6623328486.

Adding to 1355331040 its reverse (401335531), we get a palindrome (1756666571).

The spelling of 1355331040 in words is "one billion, three hundred fifty-five million, three hundred thirty-one thousand, forty".