1384938181440 has 672 divisors, whose sum is σ = 5401420053120. Its totient is φ = 334977638400.

The previous prime is 1384938181411. The next prime is 1384938181447. The reversal of 1384938181440 is 441818394831.

1384938181440 is a `hidden beast` number, since 1 + 3 + 8 + 49 + 3 + 81 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384938181447) by changing a digit.

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, 435376650 + ... + 435379830.

It is an arithmetic number, because the mean of its divisors is an integer number (8037827460).

Almost surely, 2^{1384938181440} is an apocalyptic number.

1384938181440 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 1384938181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700710026560).

1384938181440 is an abundant number, since it is smaller than the sum of its proper divisors (4016481871680).

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

1384938181440 is a wasteful number, since it uses less digits than its factorization.

1384938181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1384938181440 in words is "one trillion, three hundred eighty-four billion, nine hundred thirty-eight million, one hundred eighty-one thousand, four hundred forty".