1383338930400 has 1728 divisors, whose sum is σ = 6053660540928. Its totient is φ = 301666498560.

The previous prime is 1383338930399. The next prime is 1383338930411. The reversal of 1383338930400 is 40398333831.

1383338930400 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 338 + 9 + 304 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2750176549 + ... + 2750177051.

It is an arithmetic number, because the mean of its divisors is an integer number (3503275776).

Almost surely, 2^{1383338930400} is an apocalyptic number.

1383338930400 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 1383338930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026830270464).

1383338930400 is an abundant number, since it is smaller than the sum of its proper divisors (4670321610528).

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

1383338930400 is a wasteful number, since it uses less digits than its factorization.

1383338930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1383338930400 in words is "one trillion, three hundred eighty-three billion, three hundred thirty-eight million, nine hundred thirty thousand, four hundred".