1356253440 has 288 divisors, whose sum is σ = 4724092800. Its totient is φ = 330301440.

The previous prime is 1356253433. The next prime is 1356253499. The reversal of 1356253440 is 443526531.

1356253440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 2115520 + ... + 2116160.

It is an arithmetic number, because the mean of its divisors is an integer number (16403100).

Almost surely, 2^1356253440 is an apocalyptic number.

1356253440 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 1356253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362046400).

1356253440 is an abundant number, since it is smaller than the sum of its proper divisors (3367839360).

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

1356253440 is a wasteful number, since it uses less digits than its factorization.

1356253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 1356253440 is about 36827.3463610942. The cubic root of 1356253440 is about 1106.9133302853.

Adding to 1356253440 its reverse (443526531), we get a palindrome (1799779971).

The spelling of 1356253440 in words is "one billion, three hundred fifty-six million, two hundred fifty-three thousand, four hundred forty".