1382162611200 has 1056 divisors, whose sum is σ = 5427614277120. Its totient is φ = 303641395200.

The previous prime is 1382162611189. The next prime is 1382162611211. The reversal of 1382162611200 is 21162612831.

It is an interprime number because it is at equal distance from previous prime (1382162611189) and next prime (1382162611211).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1609036371 + ... + 1609037229.

Almost surely, 2^{1382162611200} is an apocalyptic number.

1382162611200 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 1382162611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713807138560).

1382162611200 is an abundant number, since it is smaller than the sum of its proper divisors (4045451665920).

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

1382162611200 is a wasteful number, since it uses less digits than its factorization.

1382162611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 1382162611200 in words is "one trillion, three hundred eighty-two billion, one hundred sixty-two million, six hundred eleven thousand, two hundred".