1332414323240 has 256 divisors, whose sum is σ = 4110843985920. Its totient is φ = 375195018240.

The previous prime is 1332414323209. The next prime is 1332414323267. The reversal of 1332414323240 is 423234142331.

It is a junction number, because it is equal to n+sod(n) for n = 1332414323197 and 1332414323206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1527869 + ... + 2235891.

It is an arithmetic number, because the mean of its divisors is an integer number (16057984320).

Almost surely, 2^{1332414323240} is an apocalyptic number.

1332414323240 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 1332414323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055421992960).

1332414323240 is an abundant number, since it is smaller than the sum of its proper divisors (2778429662680).

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

1332414323240 is a wasteful number, since it uses less digits than its factorization.

1332414323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708112 (or 708108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1332414323240 its reverse (423234142331), we get a palindrome (1755648465571).

The spelling of 1332414323240 in words is "one trillion, three hundred thirty-two billion, four hundred fourteen million, three hundred twenty-three thousand, two hundred forty".