1352662036440 has 512 divisors, whose sum is σ = 5180261990400. Its totient is φ = 277509888000.

The previous prime is 1352662036403. The next prime is 1352662036457. The reversal of 1352662036440 is 446302662531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1352662036392 and 1352662036401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10040325 + ... + 10174155.

It is an arithmetic number, because the mean of its divisors is an integer number (10117699200).

Almost surely, 2^{1352662036440} is an apocalyptic number.

1352662036440 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 1352662036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590130995200).

1352662036440 is an abundant number, since it is smaller than the sum of its proper divisors (3827599953960).

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

1352662036440 is a wasteful number, since it uses less digits than its factorization.

1352662036440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133919 (or 133915 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 1352662036440 its reverse (446302662531), we get a palindrome (1798964698971).

The spelling of 1352662036440 in words is "one trillion, three hundred fifty-two billion, six hundred sixty-two million, thirty-six thousand, four hundred forty".