1331863041600 has 3780 divisors, whose sum is σ = 6618825864684. Its totient is φ = 260855562240.

The previous prime is 1331863041571. The next prime is 1331863041629. The reversal of 1331863041600 is 61403681331.

1331863041600 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 8 + 6 + 3 + 0 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1331863041571) and next prime (1331863041629).

It can be written as a sum of positive squares in 18 ways, for example, as 1095806988864 + 236056052736 = 1046808^2 + 485856^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

It is a super-3 number, since 3×1331863041600³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 539 ways as a sum of consecutive naturals, for example, 18244699164 + ... + 18244699236.

Almost surely, 2^{1331863041600} is an apocalyptic number.

1331863041600 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 1331863041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309412932342).

1331863041600 is an abundant number, since it is smaller than the sum of its proper divisors (5286962823084).

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

1331863041600 is a wasteful number, since it uses less digits than its factorization.

1331863041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1331863041600 in words is "one trillion, three hundred thirty-one billion, eight hundred sixty-three million, forty-one thousand, six hundred".