1331344244032 has 504 divisors, whose sum is σ = 3246353583480. Its totient is φ = 540455731200.

The previous prime is 1331344244029. The next prime is 1331344244047. The reversal of 1331344244032 is 2304424431331.

It can be written as a sum of positive squares in 12 ways, for example, as 1990587456 + 1329353656576 = 44616^2 + 1152976^2 .

It is a super-3 number, since 3×1331344244032³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4737879732 + ... + 4737880012.

It is an arithmetic number, because the mean of its divisors is an integer number (6441177745).

Almost surely, 2^{1331344244032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331344244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623176791740).

1331344244032 is an abundant number, since it is smaller than the sum of its proper divisors (1915009339448).

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

1331344244032 is a wasteful number, since it uses less digits than its factorization.

1331344244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 1331344244032 its reverse (2304424431331), we get a palindrome (3635768675363).

The spelling of 1331344244032 in words is "one trillion, three hundred thirty-one billion, three hundred forty-four million, two hundred forty-four thousand, thirty-two".