1355013440 has 112 divisors (see below), whose sum is σ = 3533241600. Its totient is φ = 490874880.

The previous prime is 1355013437. The next prime is 1355013461. The reversal of 1355013440 is 443105531.

It is a super-2 number, since 2×1355013440² = 3672122845161267200, which contains 22 as substring.

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, 1227929 + ... + 1229031.

It is an arithmetic number, because the mean of its divisors is an integer number (31546800).

Almost surely, 2^1355013440 is an apocalyptic number.

1355013440 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 1355013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766620800).

1355013440 is an abundant number, since it is smaller than the sum of its proper divisors (2178228160).

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

1355013440 is a wasteful number, since it uses less digits than its factorization.

1355013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1355013440 is about 36810.5071956364. The cubic root of 1355013440 is about 1106.5758832644.

Adding to 1355013440 its reverse (443105531), we get a palindrome (1798118971).

The spelling of 1355013440 in words is "one billion, three hundred fifty-five million, thirteen thousand, four hundred forty".