1382144400 has 360 divisors, whose sum is σ = 5904691520. Its totient is φ = 291548160.

The previous prime is 1382144363. The next prime is 1382144431. The reversal of 1382144400 is 44412831.

1382144400 is a `hidden beast` number, since 1 + 3 + 8 + 214 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 325491 + ... + 329709.

Almost surely, 2^1382144400 is an apocalyptic number.

1382144400 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 1382144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952345760).

1382144400 is an abundant number, since it is smaller than the sum of its proper divisors (4522547120).

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

1382144400 is a wasteful number, since it uses less digits than its factorization.

1382144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1382144400 is about 37177.2026919724. The cubic root of 1382144400 is about 1113.9126590003.

The spelling of 1382144400 in words is "one billion, three hundred eighty-two million, one hundred forty-four thousand, four hundred".