1382991109200 has 180 divisors, whose sum is σ = 4799897501308. Its totient is φ = 368756582400.

The previous prime is 1382991109189. The next prime is 1382991109211. The reversal of 1382991109200 is 29011992831.

It is an interprime number because it is at equal distance from previous prime (1382991109189) and next prime (1382991109211).

It can be written as a sum of positive squares in 6 ways, for example, as 9791498304 + 1373199610896 = 98952^2 + 1171836^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 46212642 + ... + 46242558.

Almost surely, 2^{1382991109200} is an apocalyptic number.

1382991109200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382991109200 is an abundant number, since it is smaller than the sum of its proper divisors (3416906392108).

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

1382991109200 is a wasteful number, since it uses less digits than its factorization.

1382991109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42782 (or 42768 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 1382991109200 in words is "one trillion, three hundred eighty-two billion, nine hundred ninety-one million, one hundred nine thousand, two hundred".