1332314444034 has 384 divisors, whose sum is σ = 3648963022848. Its totient is φ = 343108846080.

The previous prime is 1332314444029. The next prime is 1332314444059. The reversal of 1332314444034 is 4304444132331.

1332314444034 is a `hidden beast` number, since 1 + 332 + 314 + 4 + 4 + 4 + 0 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1332314444034.

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 191 ways as a sum of consecutive naturals, for example, 402875409 + ... + 402878715.

It is an arithmetic number, because the mean of its divisors is an integer number (9502507872).

Almost surely, 2^{1332314444034} is an apocalyptic number.

1332314444034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332314444034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824481511424).

1332314444034 is an abundant number, since it is smaller than the sum of its proper divisors (2316648578814).

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

1332314444034 is a wasteful number, since it uses less digits than its factorization.

1332314444034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 1332314444034 its reverse (4304444132331), we get a palindrome (5636758576365).

The spelling of 1332314444034 in words is "one trillion, three hundred thirty-two billion, three hundred fourteen million, four hundred forty-four thousand, thirty-four".