1385848409400 has 1728 divisors, whose sum is σ = 6085690490880. Its totient is φ = 279824025600.

The previous prime is 1385848409389. The next prime is 1385848409417. The reversal of 1385848409400 is 49048485831.

It is a happy number.

1385848409400 is a `hidden beast` number, since 1 + 3 + 85 + 84 + 84 + 0 + 9 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4514164047 + ... + 4514164353.

Almost surely, 2^{1385848409400} is an apocalyptic number.

1385848409400 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 1385848409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042845245440).

1385848409400 is an abundant number, since it is smaller than the sum of its proper divisors (4699842081480).

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

1385848409400 is a wasteful number, since it uses less digits than its factorization.

1385848409400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1385848409400 in words is "one trillion, three hundred eighty-five billion, eight hundred forty-eight million, four hundred nine thousand, four hundred".